Espindola's two goals came within 3 minutes of each other in the first half.
The victory gave RSL (17-11-4) the inside track for the second seed in the Western Conference, moving the squad five points ahead of the third-place Galaxy (15-11-4) and six in front of Seattle (13-7-10).
Robbie Keane scored for the Galaxy, who lost Landon Donovan late in the second half to an injury.
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