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6x+11=13x-2
We move all terms to the left:
6x+11-(13x-2)=0
We get rid of parentheses
6x-13x+2+11=0
We add all the numbers together, and all the variables
-7x+13=0
We move all terms containing x to the left, all other terms to the right
-7x=-13
x=-13/-7
x=1+6/7
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