1. **State the problem:** We need to find the missing number $x$ in the equation: $$75 + 1000 + 275 = x(3 + 40 + 11)$$ 2. **Simplify both sides:** Calculate the sum on the left side: $$75 + 1000 + 275 = 1350$$ Calculate the sum inside the parentheses on the right side: $$3 + 40 + 11 = 54$$ 3. **Rewrite the equation:** $$1350 = x \times 54$$ 4. **Solve for $x$:** Divide both sides by 54: $$x = \frac{1350}{54}$$ Show cancellation of common factors: $$x = \frac{\cancel{1350}}{\cancel{54}} = \frac{25}{1} = 25$$ 5. **Final answer:** The missing number is **25**.