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10x+15=3x-16
We move all terms to the left:
10x+15-(3x-16)=0
We get rid of parentheses
10x-3x+16+15=0
We add all the numbers together, and all the variables
7x+31=0
We move all terms containing x to the left, all other terms to the right
7x=-31
x=-31/7
x=-4+3/7
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