1. **Problem:** Solve the equation $g(x + 3) = 13$ where $g(x) = 5x + 1$. 2. **Formula:** The function $g(x)$ is given by $g(x) = 5x + 1$. To solve $g(x + 3) = 13$, substitute $x + 3$ into $g$: $$g(x + 3) = 5(x + 3) + 1$$ 3. **Substitute and simplify:** $$5(x + 3) + 1 = 13$$ $$5x + 15 + 1 = 13$$ $$5x + 16 = 13$$ 4. **Isolate $x$:** $$5x + 16 = 13$$ $$5x = 13 - 16$$ $$5x = -3$$ 5. **Divide both sides by 5:** $$\cancel{5}x = \frac{-3}{\cancel{5}}$$ $$x = -\frac{3}{5}$$ 6. **Answer:** The solution to $g(x + 3) = 13$ is $$x = -\frac{3}{5}$$