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first, take the LCM of denominators in LHS side,
we get, 7x+1/x^2-1 as LHS,
now cross multiply the LHS and RHS,
we get, 28x^2-7x+4x-1=29x^2-29
on simplifying the expression , we get a quadratic equation,
x^2+3x-28,
by splitting the middle term , (or you can use any other method )
x^2+7x-4x-28,
taking out commons,
x(x+7)-4(x+7), we get factors,
(x-4) and (x+7)
which gives , x=-7,4
I hope you like the answer.
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