$$-7+23(x+34)+x = 47(2x+4)$$

$$ \begin{aligned} -7+23(x+34)+x &= 47(2x+4)&& \text{simplify left and right hand side} \\[1 em]-7+23x+782+x &= 94x+188&& \\[1 em]23x+775+x &= 94x+188&& \\[1 em]24x+775 &= 94x+188&& \text{move the $ \color{blue}{ 94x } $ to the left side and $ \color{blue}{ 775 }$ to the right} \\[1 em]24x-94x &= 188-775&& \text{simplify left and right hand side} \\[1 em]-70x &= -587&& \text{ divide both sides by $ -70 $ } \\[1 em]x &= \frac{-587}{-70}&& \\[1 em]x &= \frac{587}{70}&& \\[1 em] \end{aligned} $$

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