Sine Meets Cosine

Geometry Level 3

\[x = \sin^4\left(\frac{\pi}{8}\right)+\cos^4\left(\frac{\pi}{8}\right)+\sin^4\left(\frac{7\pi}{8}\right)+\cos^4\left(\frac{7\pi}{8}\right).\]

Find the value of \(36x\).

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