BOSTON—Pinch-hitter Dan Johnson homered off Jonathan Papelbon in the ninth inning to tie it, and Dioner Navarro doubled in the go-ahead run Tuesday night as the Tampa Bay Rays rallied past the Boston Red Sox 5-4 to snap a four-game skid and extend their lead in the AL East.

The Rays had lost six of seven games—and the Red Sox had won six of seven, including a 3-0 victory in the series opener—to cut the cushion from 5 1/2 games to just a half-game. With a victory Tuesday, the Red Sox could have moved into first place for the first time since June 28; instead, the Rays are 1 1/2 up a...

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