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