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4x+13=7x-13
We move all terms to the left:
4x+13-(7x-13)=0
We get rid of parentheses
4x-7x+13+13=0
We add all the numbers together, and all the variables
-3x+26=0
We move all terms containing x to the left, all other terms to the right
-3x=-26
x=-26/-3
x=8+2/3
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