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5x-9=-5x-129
We move all terms to the left:
5x-9-(-5x-129)=0
We get rid of parentheses
5x+5x+129-9=0
We add all the numbers together, and all the variables
10x+120=0
We move all terms containing x to the left, all other terms to the right
10x=-120
x=-120/10
x=-12
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