So, Brianna, when you have everything over the same denominator, you can disregard the denominator!
-4x + 4 + 2x - 5 = 3
-2x - 1 = 3
- 2x = 4
x = -2
Let's check...
(-4(-2) + 4)/7 + (2(-2) - 5)/7 = 3/7
(8+4)7 + (-4 - 5) = 3/7
12/7 - 9/7 = 3/7
3/7 = 3/7
Boom.