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-3x+7=7x+15
We move all terms to the left:
-3x+7-(7x+15)=0
We get rid of parentheses
-3x-7x-15+7=0
We add all the numbers together, and all the variables
-10x-8=0
We move all terms containing x to the left, all other terms to the right
-10x=8
x=8/-10
x=-4/5
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