$$ \begin{aligned} 3x+1 &= 6x+10&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]3x-6x &= 10-1&& \text{simplify left and right hand side} \\[1 em]-3x &= 9&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= -\frac{9}{3}&& \\[1 em]x &= -3&& \\[1 em] \end{aligned} $$
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