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7(6x-11)=469
We move all terms to the left:
7(6x-11)-(469)=0
We multiply parentheses
42x-77-469=0
We add all the numbers together, and all the variables
42x-546=0
We move all terms containing x to the left, all other terms to the right
42x=546
x=546/42
x=13
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