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4x+12=5x+35

We move all terms to the left:

4x+12-(5x+35)=0

We get rid of parentheses

4x-5x-35+12=0

We add all the numbers together, and all the variables

-1x-23=0

We move all terms containing x to the left, all other terms to the right

-x=23

x=23/-1

x=-23

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