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-5x+46=-22-3x
We move all terms to the left:
-5x+46-(-22-3x)=0
We add all the numbers together, and all the variables
-5x-(-3x-22)+46=0
We get rid of parentheses
-5x+3x+22+46=0
We add all the numbers together, and all the variables
-2x+68=0
We move all terms containing x to the left, all other terms to the right
-2x=-68
x=-68/-2
x=+34
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