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2x+17=7x-15
We move all terms to the left:
2x+17-(7x-15)=0
We get rid of parentheses
2x-7x+15+17=0
We add all the numbers together, and all the variables
-5x+32=0
We move all terms containing x to the left, all other terms to the right
-5x=-32
x=-32/-5
x=6+2/5
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