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2x-3(6x-6)=114
We move all terms to the left:
2x-3(6x-6)-(114)=0
We multiply parentheses
2x-18x+18-114=0
We add all the numbers together, and all the variables
-16x-96=0
We move all terms containing x to the left, all other terms to the right
-16x=96
x=96/-16
x=-6
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