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(x+4)(x+6)=(x+1)(x+12)
We move all terms to the left:
(x+4)(x+6)-((x+1)(x+12))=0
We multiply parentheses ..
(+x^2+6x+4x+24)-((x+1)(x+12))=0
We calculate terms in parentheses: -((x+1)(x+12)), so:We get rid of parentheses
(x+1)(x+12)
We multiply parentheses ..
(+x^2+12x+x+12)
We get rid of parentheses
x^2+12x+x+12
We add all the numbers together, and all the variables
x^2+13x+12
Back to the equation:
-(x^2+13x+12)
x^2-x^2+6x+4x-13x+24-12=0
We add all the numbers together, and all the variables
-3x+12=0
We move all terms containing x to the left, all other terms to the right
-3x=-12
x=-12/-3
x=+4
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