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3(x-6)-2(3x+1)=1
We move all terms to the left:
3(x-6)-2(3x+1)-(1)=0
We multiply parentheses
3x-6x-18-2-1=0
We add all the numbers together, and all the variables
-3x-21=0
We move all terms containing x to the left, all other terms to the right
-3x=21
x=21/-3
x=-7
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