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Solve: 5+[6+2xx{3+(4-:2xx3-1)+7]-8]...

Solve:
`5+[6+2xx{3+(4-:2xx3-1)+7]-8]`

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The correct Answer is:
To solve the expression \( 5 + [6 + 2 \times \{3 + (4 \div 2 \times 3 - 1) + 7\} - 8] \), we will follow the BODMAS/BIDMAS rule, which stands for Brackets, Orders (powers and roots), Division and Multiplication (from left to right), Addition and Subtraction (from left to right). ### Step-by-Step Solution: 1. **Identify and Solve the Innermost Bracket:** \[ (4 \div 2 \times 3 - 1) \] - First, perform the division: \[ 4 \div 2 = 2 \] - Now substitute back into the expression: \[ 2 \times 3 - 1 \] - Next, perform the multiplication: \[ 2 \times 3 = 6 \] - Finally, perform the subtraction: \[ 6 - 1 = 5 \] - So, the innermost bracket simplifies to 5. 2. **Substitute Back into the Expression:** \[ 5 + [6 + 2 \times \{3 + 5 + 7\} - 8] \] 3. **Simplify the Middle Bracket:** \[ 3 + 5 + 7 \] - Perform the addition: \[ 3 + 5 = 8 \] \[ 8 + 7 = 15 \] - So, the middle bracket simplifies to 15. 4. **Substitute Back into the Expression:** \[ 5 + [6 + 2 \times 15 - 8] \] 5. **Perform the Multiplication:** \[ 2 \times 15 = 30 \] 6. **Substitute Back into the Expression:** \[ 5 + [6 + 30 - 8] \] 7. **Simplify the Bracket:** \[ 6 + 30 - 8 \] - First, perform the addition: \[ 6 + 30 = 36 \] - Then perform the subtraction: \[ 36 - 8 = 28 \] 8. **Final Addition:** \[ 5 + 28 = 33 \] ### Final Answer: The final answer is \( 33 \). ---
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