1. **State the problem:** Solve the equation $Dx - 8 = 24$ for $x$. 2. **Rewrite the equation:** $$Dx - 8 = 24$$ 3. **Add 8 to both sides to isolate the term with $x$:** $$Dx - 8 + 8 = 24 + 8$$ $$Dx = 32$$ 4. **Divide both sides by $D$ to solve for $x$:** $$\frac{\cancel{D}x}{\cancel{D}} = \frac{32}{D}$$ $$x = \frac{32}{D}$$ 5. **Final answer:** $$x = \frac{32}{D}$$ This means $x$ is equal to 32 divided by $D$, assuming $D \neq 0$. Note: The second equation $x + y = -2$ is not solved here as per instructions to solve only the first problem.