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2(4x-7)+6=3x+17
We move all terms to the left:
2(4x-7)+6-(3x+17)=0
We multiply parentheses
8x-(3x+17)-14+6=0
We get rid of parentheses
8x-3x-17-14+6=0
We add all the numbers together, and all the variables
5x-25=0
We move all terms containing x to the left, all other terms to the right
5x=25
x=25/5
x=5
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