At the beginning of the month, a song on a streaming service had 700 listens, and it was getting 52 new listens each day. Meanwhile, a different song had 600 listens, and it was getting 56 new listens each day. When will the two songs have the same number of listens?(1 point)

Let \( x \) be the number of days after the beginning of the month.

For the first song:
- Initial listens: 700
- Daily increase: 52
- Number of listens after \( x \) days: \( 700 + 52x \)

For the second song:
- Initial listens: 600
- Daily increase: 56
- Number of listens after \( x \) days: \( 600 + 56x \)

We want to find the value of \( x \) when the two songs have the same number of listens, so we set the two equations equal to each other:

\[
700 + 52x = 600 + 56x
\]

To solve for \( x \), we first simplify the equation:

1. Subtract \( 52x \) from both sides:
\[
700 = 600 + 4x
\]

2. Subtract 600 from both sides:
\[
100 = 4x
\]

3. Divide both sides by 4:
\[
x = 25
\]

Thus, the two songs will have the same number of listens after **25 days**.