To solve the equation \(-10(x + 2) - 5x = -9x + 16\), we first distribute the \(-10\) on the left side:
\[ -10x - 20 - 5x = -9x + 16 \]
Next, combine the \(x\) terms on the left side:
\[ -15x - 20 = -9x + 16 \]
Now, we can isolate the terms involving \(x\). Let's add \(15x\) to both sides:
\[ -20 = 6x + 16 \]
Next, subtract \(16\) from both sides:
\[ -36 = 6x \]
Now, divide both sides by \(6\):
\[ x = -6 \]
Thus, the solution to the equation is
\[ \boxed{-6} \]