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(x+1)=5x-4
We move all terms to the left:
(x+1)-(5x-4)=0
We get rid of parentheses
x-5x+1+4=0
We add all the numbers together, and all the variables
-4x+5=0
We move all terms containing x to the left, all other terms to the right
-4x=-5
x=-5/-4
x=1+1/4
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