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x+1=6x+41
We move all terms to the left:
x+1-(6x+41)=0
We get rid of parentheses
x-6x-41+1=0
We add all the numbers together, and all the variables
-5x-40=0
We move all terms containing x to the left, all other terms to the right
-5x=40
x=40/-5
x=-8
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