1. **State the problem:** Simplify the expression $1000 - [300 + 50 + (40 \times 3) + (200 \times 2)]$. 2. **Recall the order of operations:** Calculate inside the brackets first, and within brackets, perform multiplication before addition. 3. **Calculate the multiplications inside the brackets:** $$40 \times 3 = 120$$ $$200 \times 2 = 400$$ 4. **Substitute these values back into the brackets:** $$300 + 50 + 120 + 400$$ 5. **Add the numbers inside the brackets:** $$300 + 50 = 350$$ $$350 + 120 = 470$$ $$470 + 400 = 870$$ 6. **Now subtract the sum from 1000:** $$1000 - 870 = 130$$ **Final answer:** $130$