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`|x+7/3| + 3/4 = 11/4`
`=> |x+7/3| = 11/4 - 3/4`
`=> |x+7/3| = 2`
\(⇒\left[ \begin{array}{l}x+\dfrac73=2\\x+\dfrac73=-2\end{array} \right.\)
\(⇒\left[ \begin{array}{l}x=2-\dfrac73\\x=-2-\dfrac73\end{array} \right.\)
\(⇒\left[ \begin{array}{l}x=-\dfrac13\\x=-\dfrac{13}3\end{array} \right.\)
Vaayj`x={-1/3;-13/3}`