Paul hit 11-of-14 shots from the field and Jamal Crawford chipped in points for the Clippers, who went 4-3 on their seven-game road swing.
DeAndre Jordan helped out with 15 points and 10 rebounds for Los Angeles.
The Wizards dropped a fourth straight despite 24 points and 12 assists from John Wall.
Kevin Seraphin came off the bench to add 16 points.
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