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(1/2)*(4*x-6) = (3/2)*x // - (3/2)*x
(1/2)*(4*x-6)-((3/2)*x) = 0
(1/2)*(4*x-6)+(-3/2)*x = 0
1/2*(4*x-6)+(-3*x)/2 = 0
(1/2*2*(4*x-6))/2+(-3*x)/2 = 0
1/2*2*(4*x-6)-3*x = 0
x-6 = 0
(x-6)/2 = 0
(x-6)/2 = 0 // * 2
x-6 = 0
x-6 = 0 // + 6
x = 6
x = 6
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