$$ \begin{aligned} 6 &= 3(x-7)&& \text{simplify right side} \\[1 em]6 &= 3x-21&& \text{ swap the left and right side of the equation } \\[1 em]3x-21 &= 6&& \text{ move -21 to the right } \\[1 em]3x &= 6+21&& \\[1 em]3x &= 27&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{27}{3}&& \\[1 em]x &= 9&& \\[1 em] \end{aligned} $$
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