Matrices And Determinants

Let $$A=\left[\begin{array}{ccc}1 & 1 & 1 \\ 0 & 1 & 3 \\ 1 & -2 & 1\end{array}\right], B=\left[\begin{array}{c}6 \\ 11 \\ 0\end{array}\right]$$ and $$X=\left[\begin{array}{l}a \\ b \\ c\end{array}\right]$$, if \(\mathrm{AX}=\mathrm{B}\), then the value of \(2 \mathrm{a}+\mathrm{b}+2 \mathrm{c}\) is