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6(x+1)=7x+1
We move all terms to the left:
6(x+1)-(7x+1)=0
We multiply parentheses
6x-(7x+1)+6=0
We get rid of parentheses
6x-7x-1+6=0
We add all the numbers together, and all the variables
-1x+5=0
We move all terms containing x to the left, all other terms to the right
-x=-5
x=-5/-1
x=+5
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