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Find the value of x if $cosec^{-1}x=2\cot^{-1}7+\cot^{-1}\frac{3}{4}$

$\begin{array}{1 1} \frac{125}{117} \\ \frac{-125}{117} \\ \frac{-117 }{125} \\ \frac{117}{125} \end{array} $

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