Answer
44
Work Step by Step
$4+5(x-7)^{3}$, for $x=9$, substitute 9 for each x
$4+5(9-7)^{3}$, always do grouped operations first
$4+5(2)^{3}$, then follow with any exponents
$4+5(8)$, then any multiplication or division in order left to right
$4+40$, then addition or subtraction left to right
$44$