Last summer, Talia offered lawn mowing service for $7. By the end of the summer, she earned a total of $161. Let x be the number of times Talia provided lawn mowing service. Set up the equation that can be used to solve this problem, then use the appropriate property of equality to solve for x.

The equation that can be used to solve this problem is:

7x = 161

To solve for x, we can divide both sides of the equation by 7:
7x/7 = 161/7

Simplifying the equation further:
x = 23

Therefore, Talia provided lawn mowing service 23 times.