If \( a+b+c=0 \), solve for \( x:\left|\begin{array}{ccc}a-x & c & b \\ c & b-x & a \\ b & a & c...

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If \( a+b+c=0 \), solve for \( x:\left|\begin{array}{ccc}a-x & c & b \\ c & b-x & a \\ b & a & c-x\end{array}\right|=0 \)
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