Solve for x_3
\left\{\begin{matrix}x_{3}<\frac{a}{7}\text{, }&a<0\\x_{3}>\frac{a}{7}\text{, }&a>0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a\in \left(0,7x_{3}\right)\text{, }&x_{3}>0\\a\in \left(7x_{3},0\right)\text{, }&x_{3}<0\end{matrix}\right.
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