The Red Sox allowed the Cubs to climb back into Saturday night's game at Wrigley Field but ultimately held off Chicago, coming away with a 4-3 victory.
Jarrod Saltalamacchia provided the pop at the plate for Boston as he belted a two-run homer in the fourth to give the Red Sox a 2-0 lead. Will Middlebrooks and Scott Podsednik would also drive in runs on a pair of singles.
Jon Lester had a fine start for Boston as he worked 6.2 innings and allowed three earned runs on seven hits while striking out eight.
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Chicago's Luis Valbuena was the one Cub in synch offensively as his three-run homer in the seventh triggered the failed comeback attempt.
Boston is now 32-33 on the season.