The sum of the solutions $x \in R$ of the equation $\frac{3 \cos 2 x+\cos ^3 2 x}{\cos ^6 x-\sin ^6 x}=x^3-x^2+6$ is [JEE Main 2024, 29 Jan (Shift 2)]

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The sum of the solutions \(x \in R\) of the equation \(\frac{3 \cos 2 x+\cos ^3 2 x}{\cos ^6 x-\sin ^6 x}=x^3-x^2+6\) is…

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