$$ \begin{aligned} 3(4x+1)-6x &= 2(x+11)+5&& \text{simplify left and right hand side} \\[1 em]12x+3-6x &= 2x+22+5&& \\[1 em]6x+3 &= 2x+27&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]6x-2x &= 27-3&& \text{simplify left and right hand side} \\[1 em]4x &= 24&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{24}{4}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$
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