$$ \begin{aligned} 15(2x-10)+4x &= -3(15x+4)&& \text{simplify left and right hand side} \\[1 em]30x-150+4x &= -(45x+12)&& \\[1 em]34x-150 &= -45x-12&& \text{move the $ \color{blue}{ -45x } $ to the left side and $ \color{blue}{ -150 }$ to the right} \\[1 em]34x+45x &= -12+150&& \text{simplify left and right hand side} \\[1 em]79x &= 138&& \text{ divide both sides by $ 79 $ } \\[1 em]x &= \frac{138}{79}&& \\[1 em] \end{aligned} $$
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