White Sox closer Addison Reed (3-1) was tagged with the loss. He also gave up an RBI blooper to Michael Bourn, allowed a run to score on a wild pitch and gave up a sacrifice fly to Jason Kipnis.
The win went to Matt Langwell (1-0), who gave up two runs in the eighth. Vinnie Pestano picked up his sixth save with a scoreless ninth.
The win in the nightcap followed Cleveland's 19-10 victory in the first game.
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