\[\left\{ \begin{matrix} - x - 5 \leq - 2x - 2 \\ - 2x + 2 \geq 3 - 3x\ \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} x \leq 3 \\ x \geq 1 \\ \end{matrix} \right.\ \]
\[x = 1;2;3.\]
\[1^{2} + 2^{2} + 3^{2} = 1 + 4 + 9 = 14.\]
\[Ответ:14.\]