1. **State the problem:** Calculate the value of the expression $25 + 32 / [(10 - 6)] \times 4$. 2. **Recall the order of operations:** Use PEMDAS/BODMAS rules: Parentheses first, then Division and Multiplication from left to right, and finally Addition. 3. **Evaluate inside the parentheses:** $$10 - 6 = 4$$ 4. **Rewrite the expression:** $$25 + \frac{32}{4} \times 4$$ 5. **Perform the division:** $$\frac{32}{4} = 8$$ 6. **Multiply:** $$8 \times 4 = 32$$ 7. **Add:** $$25 + 32 = 57$$ **Final answer:** $57$