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2(x+7)=8x-1
We move all terms to the left:
2(x+7)-(8x-1)=0
We multiply parentheses
2x-(8x-1)+14=0
We get rid of parentheses
2x-8x+1+14=0
We add all the numbers together, and all the variables
-6x+15=0
We move all terms containing x to the left, all other terms to the right
-6x=-15
x=-15/-6
x=2+1/2
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