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The first song is getting 52 new listens each day, so the number of listens for the first song after x days can be represented by the equation:
700 + 52x
The second song is getting 56 new listens each day, so the number of listens for the second song after x days can be represented by the equation:
600 + 56x
We want to find the number of days (x) when both equations are equal:
700 + 52x = 600 + 56x
100 = 4x
x = 25
Therefore, the two songs will have the same number of listens after 25 days.