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5x+35=-17x
We move all terms to the left:
5x+35-(-17x)=0
We get rid of parentheses
5x+17x+35=0
We add all the numbers together, and all the variables
22x+35=0
We move all terms containing x to the left, all other terms to the right
22x=-35
x=-35/22
x=-1+13/22
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