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4x+9=7x-36=
We move all terms to the left:
4x+9-(7x-36)=0
We get rid of parentheses
4x-7x+36+9=0
We add all the numbers together, and all the variables
-3x+45=0
We move all terms containing x to the left, all other terms to the right
-3x=-45
x=-45/-3
x=+15
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