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x in (-oo:+oo)
(3*(x+4))/7 = 2*x-3 // - 2*x-3
(3*(x+4))/7-(2*x)+3 = 0
(3*(x+4))/7-2*x+3 = 0
(3*(x+4))/7+(-2*7*x)/7+(3*7)/7 = 0
3*(x+4)-2*7*x+3*7 = 0
12-11*x+21 = 0
33-11*x = 0
(33-11*x)/7 = 0
(33-11*x)/7 = 0 // * 7
33-11*x = 0
33-11*x = 0 // - 33
-11*x = -33 // : -11
x = -33/(-11)
x = 3
x = 3
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