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(1/7)*x+1 = 47/42 // - 47/42
(1/7)*x-(47/42)+1 = 0
(1/7)*x-47/42+1 = 0
1/7*x-5/42 = 0 // + 5/42
1/7*x = 5/42 // : 1/7
x = 5/42/1/7
x = 5/6
x = 5/6
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