1. **State the problem:** We are given a piecewise function: $$m(x) = \begin{cases} 20x + 25 & \text{if } x < 0 \\ 11 - 7x & \text{if } x \geq 0 \end{cases}$$ We need to find the value of $m(x)$ when $x = 5$. 2. **Identify which piece to use:** Since $5 \geq 0$, we use the second piece of the function: $$m(x) = 11 - 7x$$ 3. **Substitute $x = 5$ into the function:** $$m(5) = 11 - 7 \times 5$$ 4. **Calculate the value:** $$m(5) = 11 - 35 = -24$$ 5. **Conclusion:** The value of $m(x)$ at $x = 5$ is $-24$.