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1-4x=12x-17
We move all terms to the left:
1-4x-(12x-17)=0
We get rid of parentheses
-4x-12x+17+1=0
We add all the numbers together, and all the variables
-16x+18=0
We move all terms containing x to the left, all other terms to the right
-16x=-18
x=-18/-16
x=1+1/8
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