If \( \Delta_{1}=\left|\begin{array}{ccc}10 & 4 & 3 \\ 17 &...

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If \( \Delta_{1}=\left|\begin{array}{ccc}10 & 4 & 3 \\ 17 & 7 & 4 \\ 4 & -5 & 7\end{array}\right|, \Delta_{2}=\left|\begin{array}{lll}4 & x+5 & 3 \\ 7 & x+12 & 4 \\ -5 & x-1 & 7\end{array}\right| \) such that \( \Delta_{1}+\Delta_{2}=0 \), then
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