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2x+35=5x-7
We move all terms to the left:
2x+35-(5x-7)=0
We get rid of parentheses
2x-5x+7+35=0
We add all the numbers together, and all the variables
-3x+42=0
We move all terms containing x to the left, all other terms to the right
-3x=-42
x=-42/-3
x=+14
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