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Let x be the number of days it takes for the two songs to have the same number of listens.
The total number of listens for the first song after x days is 700 + 52x, and for the second song, it is 600 + 56x.
Setting both expressions equal to each other and solving for x:
700 + 52x = 600 + 56x
100 = 4x
x = 25
Therefore, it will take 25 days for the two songs to have the same number of listens.