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Joe Biden has cemented his position as front-runner in the Democratic race to take on President Donald Trump in November's White House election.
The former vice-president is projected to win Michigan - the biggest prize of primary voting on Tuesday - and extend his lead over Bernie Sanders.
Mr Biden's chances had recovered with big wins on Super Tuesday after which several former rivals endorsed him.
It is unclear if Mr Sanders will fight on until the party convention in July.
The Democrats' next big election milestone is in a week's time when 577 delegates are up for grabs.
To secure the nomination, a candidate needs the support of 1,991 delegates. Before Tuesday's vote, Mr Biden had 648 to Mr Sanders' 563.
What is Biden's message?
Joe Biden's campaign looked all but lost at the start of the primary season in February.
The former vice-president, 77, finished a poor fourth in the Iowa caucuses and fifth in the New Hampshire primary.
But the turn came with South Carolina - where he won due to the support of the large African-American community - and on the 3 March Super Tuesday he won 10 out of 14 states at stake, establishing a sizeable lead over the Vermont senator.
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Thanking supporters from Philadelphia on Tuesday evening, Mr Biden said Democrats, including supporters of Bernie Sanders, could beat Donald Trump.
"It's more than a comeback, this campaign," he said. "It's comeback for the soul of this nation."
"Tonight we are a step closer to restoring dignity and honour to the White House," Mr Biden added.
"We have to lead the world again," the former vice-president said. "Donald Trump's America First policy has made America alone."
Senator Sanders, 78, enjoys widespread support among young voters, but has so far failed to turn that into electoral success.
Beginning of the end
Mississippi was the first state to be called for Biden on Tuesday, and it was only the latest example of the strengths of his campaign - and another reason why the former vice-president appears to be in the driver's seat as the primary season unfolds.
As in South Carolina, the state that started Biden's political revival, more than 60% of the Mississippi electorate is black. And, as in South Carolina, the former vice-president dominated that demographic, to the tune of 86-11.
The common refrain that a Democrat can't win the nomination without the support of black voters, somewhat in doubt after Sanders' dominating win in the Nevada caucuses, now seems to once again be an ironclad rule.
Four years ago, Michigan gave Bernie Sanders a surprise win, breathing new life into a campaign that was struggling. This time around, the Midwestern state could mark the beginning of the end for his campaign.
Barring some sort of drastic change in the race, a recovery seems unlikely in the extreme. With every state Sanders loses, he falls farther behind - and the more improbable his comeback would be.
What are the choices for Democrats?
The Democratic Party has been involved in a lengthy internal debate aimed at deciding which candidate has the best chance of denying Mr Trump a second term in office this autumn.
Once a crowded field of more than two dozen, celebrated for its women and candidates of colour, the Democratic contest is now a race between two white male septuagenarians.
Mr Biden, a moderate, and Mr Sanders, a staunch left-winger, offer starkly different visions for America's future.
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The former vice-president presents himself as an electable pragmatist who will bring incremental change and restore "decency" after the Trump presidency.

Critics had described Mr Biden's campaign as uninspiring, even though he put in a more passionate performance in the most recent debates.
There have been fears among party members that he brings too much political baggage from his lifelong career as a Washington insider.
Mr Sanders' detractors say a self-described democratic socialist cannot win over the swing voters needed to capture the White House.
He is planning to transform the American economy with a multi-trillion dollar, higher taxation blueprint covering everything from healthcare to education.
Mr Trump's election campaign issued a statement on Tuesday, saying both rivals for the Democratic nomination were "two sides of the same coin".
"The Democrat candidate for president will be running on a big government socialist agenda regardless of the name on the ballot," the statement read, ending with: "President Trump is on an unstoppable drive toward re-election."
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