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3(5x-1)=117
We move all terms to the left:
3(5x-1)-(117)=0
We multiply parentheses
15x-3-117=0
We add all the numbers together, and all the variables
15x-120=0
We move all terms containing x to the left, all other terms to the right
15x=120
x=120/15
x=8
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