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-3x+8=-x+22
We move all terms to the left:
-3x+8-(-x+22)=0
We add all the numbers together, and all the variables
-3x-(-1x+22)+8=0
We get rid of parentheses
-3x+1x-22+8=0
We add all the numbers together, and all the variables
-2x-14=0
We move all terms containing x to the left, all other terms to the right
-2x=14
x=14/-2
x=-7
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