$$ \begin{aligned} -6(8x+1)\cdot\frac{3}{4}+29 &= -721&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]-46(8x+1)\cdot\frac{3}{4}+4\cdot29 &= 4\cdot(-721)&& \text{cancel out the denominators} \\[1 em]-(144x+18)+116 &= -2884&& \text{simplify left side} \\[1 em]-144x-18+116 &= -2884&& \\[1 em]-144x+98 &= -2884&& \text{ move 98 to the right } \\[1 em]-144x &= -2884-98&& \\[1 em]-144x &= -2982&& \text{ divide both sides by $ -144 $ } \\[1 em]x &= \frac{-2982}{-144}&& \\[1 em]x &= \frac{497}{24}&& \\[1 em] \end{aligned} $$

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