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(4/5)*x-(10/7) = 7*x+1/2 // - 7*x+1/2
(4/5)*x-(7*x)-(10/7)-(1/2) = 0
(4/5)*x-7*x-10/7-1/2 = 0
-31/5*x-27/14 = 0 // + 27/14
-31/5*x = 27/14 // : -31/5
x = 27/14/(-31/5)
x = -135/434
x = -135/434
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