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It looked like it could be another afternoon of frustration as the half wore on until, finally, the Blues drew level.
The ball fell to De Bruyne on the right flank and the Belgian wasted no time in whipping a low cross into the six-yard box for Aguero to sweep home.
It was the Argentine's 25th goal of the campaign and further boosted his lead as the Blues' top scorer this season.
On the overall balance of play it was no more than City deserved, but with 20 minutes still to play it set up a frantic finale.