$$6(3x+2)-5(6x-1)=3(x-8)-5(7x-6)+9x$$
$x=-1$
$$18x+12-5\left(6x-1\right)=3\left(x-8\right)-5\left(7x-6\right)+9x$$
$$18x+12-30x+5=3\left(x-8\right)-5\left(7x-6\right)+9x$$
$$-12x+12+5=3\left(x-8\right)-5\left(7x-6\right)+9x$$
$$-12x+17=3\left(x-8\right)-5\left(7x-6\right)+9x$$
$$-12x+17=3x-24-5\left(7x-6\right)+9x$$
$$-12x+17=3x-24-35x+30+9x$$
$$-12x+17=-32x-24+30+9x$$
$$-12x+17=-32x+6+9x$$
$$-12x+17=-23x+6$$
$$-12x+17+23x=6$$
$$11x+17=6$$
$$11x=6-17$$
$$11x=-11$$
$$x=\frac{-11}{11}$$
$$x=-1$$
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