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8x-32=10x+42
We move all terms to the left:
8x-32-(10x+42)=0
We get rid of parentheses
8x-10x-42-32=0
We add all the numbers together, and all the variables
-2x-74=0
We move all terms containing x to the left, all other terms to the right
-2x=74
x=74/-2
x=-37
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