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-10x+22=10x-23
We move all terms to the left:
-10x+22-(10x-23)=0
We get rid of parentheses
-10x-10x+23+22=0
We add all the numbers together, and all the variables
-20x+45=0
We move all terms containing x to the left, all other terms to the right
-20x=-45
x=-45/-20
x=2+1/4
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