$$8x14=3(x-1)+7$$
$x=\frac{8x_{14}-4}{3}$
$$8x_{14}=3x-3+7$$
$$8x_{14}=3x+4$$
$$3x+4=8x_{14}$$
$$3x=8x_{14}-4$$
$$\frac{3x}{3}=\frac{8x_{14}-4}{3}$$
$$x=\frac{8x_{14}-4}{3}$$
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$x_{14}=\frac{3x}{8}+\frac{1}{2}$
$$\frac{8x_{14}}{8}=\frac{3x+4}{8}$$
$$x_{14}=\frac{3x+4}{8}$$
$$x_{14}=\frac{3x}{8}+\frac{1}{2}$$
