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11x-9(x+5)=4x+1
We move all terms to the left:
11x-9(x+5)-(4x+1)=0
We multiply parentheses
11x-9x-(4x+1)-45=0
We get rid of parentheses
11x-9x-4x-1-45=0
We add all the numbers together, and all the variables
-2x-46=0
We move all terms containing x to the left, all other terms to the right
-2x=46
x=46/-2
x=-23
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