(x-1) (x+6) -(x-2) (x-3) =3
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x(x+6)-1(x+6)-1(x-2)(x-3)=3
x^2+6x-1(x+6)-1(x-2)(x-3)=3
x^2+6x-x-6-1(x-2)(x-3)=3
x^2+5x-6-1(x-2)(x-3)=3
x^2+5x-6-x(x-3)+2(x-3)=3
x^2+5x-6-1x^2+3x+2(x-3)=3
x^2+5x-6-1x^2+3x+2x-6=3
x^2+5x-6-1x^2+5x-6=3
x^2+5x-12-1x^2+5x=3
5x-12+5x=3
10x-12=3
10x-12+12=3+12
10x=15
10x/10=15/10
x=3/2
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