1. **State the problem:** Simplify the expression $4[9+5(x+3)]$. 2. **Apply the distributive property inside the brackets:** $$4[9 + 5(x+3)] = 4[9 + 5x + 15]$$ 3. **Combine like terms inside the brackets:** $$9 + 15 = 24$$ So, $$4[24 + 5x]$$ 4. **Distribute the 4 across the terms inside the brackets:** $$4 \times 24 + 4 \times 5x = 96 + 20x$$ 5. **Final simplified expression:** $$96 + 20x$$ This means the original expression simplifies to $96 + 20x$ by first expanding inside the brackets and then distributing the multiplication outside.