1. **State the problem:** Simplify the expression $$35 - 54 \left[ \frac{23}{1} - \frac{75}{1} \left(-\frac{23}{1}\right) \right]$$. 2. **Rewrite the expression clearly:** $$35 - 54 \left[ 23 - 75 \times \left(-23\right) \right]$$ 3. **Calculate inside the brackets:** First, multiply $$75 \times (-23) = -1725$$. 4. **Substitute back:** $$35 - 54 \left[ 23 - (-1725) \right] = 35 - 54 \left[ 23 + 1725 \right]$$ 5. **Simplify inside the brackets:** $$23 + 1725 = 1748$$ 6. **Multiply:** $$54 \times 1748 = 94392$$ 7. **Final subtraction:** $$35 - 94392 = -94357$$ **Answer:** $$-94357$$