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x in (-oo:+oo)
(1/2)*(x+6)-((1/3)*(x-3)) = x+9 // - x+9
(1/2)*(x+6)-((1/3)*(x-3))-x-9 = 0
(1/2)*(x+6)+(-1/3)*(x-3)-x-9 = 0
1/2*(x+6)-1/3*(x-3)-x-9 = 0
1/2*(x+6)-1/3*(x-3)-x-9 = 0
1/6*x-x-9+4 = 0
4-5/6*x-9 = 0
-5/6*x-5 = 0
-5/6*x-5 = 0
-5/6*x-5 = 0 // + 5
-5/6*x = 5 // : -5/6
x = 5/(-5/6)
x = -6
x = -6
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