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6x+11=45-8x
We move all terms to the left:
6x+11-(45-8x)=0
We add all the numbers together, and all the variables
6x-(-8x+45)+11=0
We get rid of parentheses
6x+8x-45+11=0
We add all the numbers together, and all the variables
14x-34=0
We move all terms containing x to the left, all other terms to the right
14x=34
x=34/14
x=2+3/7
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