Liverpool were forced to hold on in their final home game of the season, eventually running out 5-3 winners against Chelsea on a night they would lift the Premier League title for the first time.
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Chelsea, who started with United States international Christian Pulisic on the substitutes' bench, fell behind to a rocket from Naby Keita on 23 minutes.
A Trent Alexander-Arnold free kick on 38 minutes doubled the hosts' advantage and Georginio Wijnaldum looked to have made the result safe when he scored two minutes before the break to make it 3-0.