$$\frac { 2 x + 1 } { 4 } - \frac { 3 x - 2 } { 7 } = 1$$
$x = \frac{13}{2} = 6\frac{1}{2} = 6.5$
$$7\left(2x+1\right)-4\left(3x-2\right)=28$$
$$14x+7-4\left(3x-2\right)=28$$
$$14x+7-12x+8=28$$
$$2x+7+8=28$$
$$2x+15=28$$
$$2x=28-15$$
$$2x=13$$
$$x=\frac{13}{2}$$
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