1. **State the problem:** Solve the absolute value equation $$3|x + 7| - 18 = 0$$ for $x$. 2. **Isolate the absolute value expression:** $$3|x + 7| - 18 = 0$$ Add 18 to both sides: $$3|x + 7| = 18$$ Divide both sides by 3: $$\cancel{3}|x + 7| = \cancel{3}6$$ So, $$|x + 7| = 6$$ 3. **Recall the definition of absolute value:** If $$|A| = B$$ where $B \geq 0$, then $$A = B$$ or $$A = -B$$. 4. **Apply this to our equation:** $$x + 7 = 6$$ or $$x + 7 = -6$$ 5. **Solve each equation:** - For $$x + 7 = 6$$: $$x = 6 - 7 = -1$$ - For $$x + 7 = -6$$: $$x = -6 - 7 = -13$$ 6. **List the solutions in ascending order:** $$x = -13, -1$$