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3(x+4)-8(x-3)=1
We move all terms to the left:
3(x+4)-8(x-3)-(1)=0
We multiply parentheses
3x-8x+12+24-1=0
We add all the numbers together, and all the variables
-5x+35=0
We move all terms containing x to the left, all other terms to the right
-5x=-35
x=-35/-5
x=+7
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