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x+8=7x-22
We move all terms to the left:
x+8-(7x-22)=0
We get rid of parentheses
x-7x+22+8=0
We add all the numbers together, and all the variables
-6x+30=0
We move all terms containing x to the left, all other terms to the right
-6x=-30
x=-30/-6
x=+5
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