$$ \begin{aligned} -4x+11 &= 5+6(-x+3)&& \text{simplify right side} \\[1 em]-4x+11 &= 5-6x+18&& \\[1 em]-4x+11 &= -6x+23&& \text{move the $ \color{blue}{ -6x } $ to the left side and $ \color{blue}{ 11 }$ to the right} \\[1 em]-4x+6x &= 23-11&& \text{simplify left and right hand side} \\[1 em]2x &= 12&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{12}{2}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$

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