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5x+6=23x-84
We move all terms to the left:
5x+6-(23x-84)=0
We get rid of parentheses
5x-23x+84+6=0
We add all the numbers together, and all the variables
-18x+90=0
We move all terms containing x to the left, all other terms to the right
-18x=-90
x=-90/-18
x=+5
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