$$0.5+ \frac{ 3 }{ 4 } x=0.25 \times - \frac{ 3 }{ 2 }$$
$x = -\frac{7}{6} = -1\frac{1}{6} \approx -1.166666667$
$$0.5+\frac{3}{4}x=\frac{1}{4}\left(-\frac{3}{2}\right)$$
$$0.5+\frac{3}{4}x=\frac{1\left(-3\right)}{4\times 2}$$
$$0.5+\frac{3}{4}x=\frac{-3}{8}$$
$$0.5+\frac{3}{4}x=-\frac{3}{8}$$
$$\frac{3}{4}x=-\frac{3}{8}-0.5$$
$$\frac{3}{4}x=-\frac{3}{8}-\frac{1}{2}$$
$$\frac{3}{4}x=-\frac{3}{8}-\frac{4}{8}$$
$$\frac{3}{4}x=\frac{-3-4}{8}$$
$$\frac{3}{4}x=-\frac{7}{8}$$
$$x=-\frac{7}{8}\times \frac{4}{3}$$
$$x=\frac{-7\times 4}{8\times 3}$$
$$x=\frac{-28}{24}$$
$$x=-\frac{7}{6}$$
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