Find the value of \( x \) for which the matrix product \[ \left[\be...

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Find the value of \( x \) for which the matrix product
\[
\left[\begin{array}{rrr}
2 & 0 & 7 \\
0 & 1 & 0 \\
1 & -2 & 1
\end{array}\right]\left[\begin{array}{rrr}
-x & 14 x & 7 x \\
0 & 1 & 0 \\
x & -4 x & -2 x
\end{array}\right] \text { equal to an identity matrix. }
\]
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