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((x-13)(x-13))+6(-x-3)=(x-8)(x-13)-5(-11x-2)
We move all terms to the left:
((x-13)(x-13))+6(-x-3)-((x-8)(x-13)-5(-11x-2))=0
We add all the numbers together, and all the variables
((x-13)(x-13))+6(-1x-3)-((x-8)(x-13)-5(-11x-2))=0
We multiply parentheses
((x-13)(x-13))-6x-((x-8)(x-13)-5(-11x-2))-18=0
We multiply parentheses ..
((+x^2-13x-13x+169))-6x-((x-8)(x-13)-5(-11x-2))-18=0
We calculate terms in parentheses: +((+x^2-13x-13x+169)), so:
(+x^2-13x-13x+169)
We get rid of parentheses
x^2-13x-13x+169
We add all the numbers together, and all the variables
x^2-26x+169
Back to the equation:
+(x^2-26x+169)
We calculate terms in parentheses: -((x-8)(x-13)-5(-11x-2)), so:We add all the numbers together, and all the variables
(x-8)(x-13)-5(-11x-2)
We multiply parentheses
(x-8)(x-13)+55x+10
We multiply parentheses ..
(+x^2-13x-8x+104)+55x+10
We get rid of parentheses
x^2-13x-8x+55x+104+10
We add all the numbers together, and all the variables
x^2+34x+114
Back to the equation:
-(x^2+34x+114)
-6x+(x^2-26x+169)-(x^2+34x+114)-18=0
We get rid of parentheses
x^2-x^2-6x-26x-34x+169-114-18=0
We add all the numbers together, and all the variables
-66x+37=0
We move all terms containing x to the left, all other terms to the right
-66x=-37
x=-37/-66
x=37/66
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