1. **State the problem:** Solve the inequality $$3(3x - 4) \leq 24$$. 2. **Apply the distributive property:** Multiply 3 by each term inside the parentheses. $$3 \times 3x - 3 \times 4 \leq 24$$ which simplifies to $$9x - 12 \leq 24$$. 3. **Isolate the variable term:** Add 12 to both sides to move the constant term. $$9x - 12 + 12 \leq 24 + 12$$ which simplifies to $$9x \leq 36$$. 4. **Divide both sides by 9 to solve for $x$:** $$\frac{\cancel{9}x}{\cancel{9}} \leq \frac{36}{9}$$ which simplifies to $$x \leq 4$$. 5. **Interpretation:** The solution to the inequality is all values of $x$ less than or equal to 4. **Final answer:** $$x \leq 4$$