Bruce finished with three RBI overall and the Reds used Derrick Robinson's pinch-hit, go-ahead single to ignite the big frame.
Aroldis Chapman got his second save despite yielding a one-out double by Suzuki in the ninth.
Nationals starter Stephen Strasburg (1-1) was touched for nine hits and six runs over 5 1/3 frames. The Washington ace issued four walks while recording five strikeouts in the loss.
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