Using properties of determinants, prove the identities: \[ \left|\begin{array}{ccc} x+4 & 2 x & ...
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Using properties of determinants, prove the identities:
\[
\left|\begin{array}{ccc}
x+4 & 2 x & 2 x \\
2 x & x+4 & 2 x \\
2 x & 2 x & x+4
\end{array}\right|=(5 x+4)(4-x)^{2}
\]
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