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15+3x=7x-17=
We move all terms to the left:
15+3x-(7x-17)=0
We get rid of parentheses
3x-7x+17+15=0
We add all the numbers together, and all the variables
-4x+32=0
We move all terms containing x to the left, all other terms to the right
-4x=-32
x=-32/-4
x=+8
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