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5x+8=-2x-13
We move all terms to the left:
5x+8-(-2x-13)=0
We get rid of parentheses
5x+2x+13+8=0
We add all the numbers together, and all the variables
7x+21=0
We move all terms containing x to the left, all other terms to the right
7x=-21
x=-21/7
x=-3
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