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x in (-oo:+oo)
(5/2)*(x+3)-(3*x)+7 = 6 // - 6
(5/2)*(x+3)-(3*x)-6+7 = 0
(5/2)*(x+3)-3*x-6+7 = 0
5/2*(x+3)-3*x-6+7 = 0
5/2*(x+3)-3*x-6+7 = 0
7-1/2*x-6+15/2 = 0
3/2-1/2*x+7 = 0
17/2-1/2*x = 0
17/2-1/2*x = 0
17/2-1/2*x = 0 // - 17/2
-1/2*x = -17/2 // : -1/2
x = -17/2/(-1/2)
x = 17
x = 17
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