\[-45x-13=77+90\]

1
Simplify  77+9077+90  to  167167.
45x13=167-45x-13=167

2
Add 1313 to both sides.
45x=167+13-45x=167+13

3
Simplify  167+13167+13  to  180180.
45x=180-45x=180

4
Divide both sides by 45-45.
x=18045x=-\frac{180}{45}

5
Simplify  18045\frac{180}{45}  to  44.
x=4x=-4

Done

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