a) $4x-15=-75-x$
$⇔5x=-60$
$⇔x=-12$
b) $72-3x=5x+8$
$⇔8x=64$
$⇔x=8$
c) $3|x-7|=21$
$⇔|x-7|=7$
$⇔\left[ \begin{array}{l}x-7=7\\x-7=-7\end{array} \right.$
$⇔\left[ \begin{array}{l}x=14\\x=0\end{array} \right.$
d) $-7|x+3|=-49$
$⇔|x+3|=7$
$⇔\left[ \begin{array}{l}x+3=7\\x+3=-7\end{array} \right.$
$⇔\left[ \begin{array}{l}x=4\\x=-10\end{array} \right.$.