\[\frac{7x - 21}{x + 1}\ \ :\frac{3 - x}{x^{2} - 1} = \frac{(7x - 21)\left( x^{2} - 1 \right)}{(x + 1)(3 - x)} =\]
\[= \frac{7 \cdot (x - 3)(x - 1)(x + 1)}{- (x + 1)(x - 3)} = - 7(x - 1) =\]
\[= 7 - 7x\]