$$0.7x+1=0.4x-5$$
$x=-20$
$$0.7x+1-0.4x=-5$$
$$0.3x+1=-5$$
$$0.3x=-5-1$$
$$0.3x=-6$$
$$x=\frac{-6}{0.3}$$
$$x=\frac{-60}{3}$$
$$x=-20$$
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