$$3 \cdot \frac { x + 1 } { 2 } - \frac { x + 2 } { 3 } = 6$$
$x = \frac{31}{7} = 4\frac{3}{7} \approx 4.428571429$
$$9\left(x+1\right)-2\left(x+2\right)=36$$
$$9x+9-2\left(x+2\right)=36$$
$$9x+9-2x-4=36$$
$$7x+9-4=36$$
$$7x+5=36$$
$$7x=36-5$$
$$7x=31$$
$$x=\frac{31}{7}$$
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