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3x+4(x-7)=8x+6
We move all terms to the left:
3x+4(x-7)-(8x+6)=0
We multiply parentheses
3x+4x-(8x+6)-28=0
We get rid of parentheses
3x+4x-8x-6-28=0
We add all the numbers together, and all the variables
-1x-34=0
We move all terms containing x to the left, all other terms to the right
-x=34
x=34/-1
x=-34
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