1. **State the problem:** Solve the equation $(4x - 14) \times 4 = 24$ for $x$. 2. **Write the equation:** $$4(4x - 14) = 24$$ 3. **Distribute the 4:** $$16x - 56 = 24$$ 4. **Add 56 to both sides to isolate the term with $x$:** $$16x = 24 + 56$$ $$16x = 80$$ 5. **Divide both sides by 16 to solve for $x$:** $$x = \frac{80}{16}$$ 6. **Simplify the fraction:** $$x = 5$$ **Final answer:** $x = 5$