Explanation:

First, we substitute the new symbols into the given expression:\nOriginal expression: $25 - 2 \div 10 \times 5 + 2$ \nAccording to the given rules: - '+' denotes '-' - '-' denotes 'x' - 'x' denotes '÷' - '÷' denotes '+' \nApplying these substitutions to the expression: $25 \quad (\text{old } - \text{ becomes } \times) \quad 2 \quad (\text{old } \div \text{ becomes } +) \quad 10 \quad (\text{old } \times \text{ becomes } \div) \quad 5 \quad (\text{old } + \text{ becomes } -) \quad 2$ \nThe new expression is: $25 \times 2 + 10 \div 5 - 2$ \nNow, we apply the order of operations (BODMAS/PEMDAS): 1. **Division:** $10 \div 5 = 2$ The expression becomes: $25 \times 2 + 2 - 2$ 2. **Multiplication:** $25 \times 2 = 50$ The expression becomes: $50 + 2 - 2$ 3. **Addition and Subtraction** (from left to right): $50 + 2 = 52$ $52 - 2 = 50$ \nSo, the final result is 50. \nOption (A) 10: This result is incorrect based on the correct order of operations and substitutions.\nOption (B) 26: This result is incorrect based on the correct order of operations and substitutions.\nOption (C) 58: This result is incorrect based on the correct order of operations and substitutions.\nOption (D) 50: This is the correct result obtained after applying the symbol substitutions and following the order of operations. This is the correct option.