To rewrite the expression \(-0.6x - 9(x + 4)\) in simplest terms, we first distribute the \(-9\) to both terms inside the parentheses:
\[ -0.6x - 9(x + 4) = -0.6x - 9x - 36 \]
Now, combine the like terms \(-0.6x\) and \(-9x\):
\[ -0.6x - 9x = -9.6x \]
So the expression simplifies to:
\[ -9.6x - 36 \]
This is the simplified form of the expression.