The solution of equation
6x/x+1+6(x+1)/x=13 are
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First write it correctly*: 6x/(x+1) + 6(x+1)/x = 13, from which 6x^2 + 6x^2 + 12x + 6 = 13x^2 + 13x
Simplify to: x^2 + x - 6 = 0, giving (x + 3)(x - 2) = 0 and x = 2, - 3
Substitute these values in the given and you will find they are correct.
* what you wrote reduces to 7 + 6 + 6/x = 13 from which x = 6/0, i.e., x is undefined. hope it helps.
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