#### Answer

$x=15$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
-7x-24=-129
$, is
\begin{array}{l}
-7x=-129+24
\\\\
-7x=-105
\\\\
x=\dfrac{-105}{-7}
\\\\
x=15
.\end{array}
Checking:
\begin{array}{l}
-7(15)-24=-129
\\\\
-105-24=-129
\\\\
-129=-129
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=15
.$