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3x+1=7x-43
We move all terms to the left:
3x+1-(7x-43)=0
We get rid of parentheses
3x-7x+43+1=0
We add all the numbers together, and all the variables
-4x+44=0
We move all terms containing x to the left, all other terms to the right
-4x=-44
x=-44/-4
x=+11
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