If \( a \neq b \), the equation \( \left|\begin{array}{ccc}x & a & ...

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If \( a \neq b \), the equation \( \left|\begin{array}{ccc}x & a & a \\ a & x & a \\ a & a & x\end{array}\right|+\left|\begin{array}{lll}b & b & x \\ b & x & b \\ x & b & b\end{array}\right|=0 \) is satisfied when \( x \) equals
(a) 0
(b) \( a-b \)
(c) \( a+b \)
(d) \( \frac{2}{3} \frac{a^{2}+a b+b^{2}}{a+b} \)
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