Evaluate the following: \[ (\sqrt{x+1}+\sqrt{x-1})^{6}+(\sqrt{x+1}-\sqrt{x-1})^{6} \]

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Evaluate the following:
\[
(\sqrt{x+1}+\sqrt{x-1})^{6}+(\sqrt{x+1}-\sqrt{x-1})^{6}
\]
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