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5x+13=83-7x
We move all terms to the left:
5x+13-(83-7x)=0
We add all the numbers together, and all the variables
5x-(-7x+83)+13=0
We get rid of parentheses
5x+7x-83+13=0
We add all the numbers together, and all the variables
12x-70=0
We move all terms containing x to the left, all other terms to the right
12x=70
x=70/12
x=5+5/6
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