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Evaluate or simplify the following expre...

Evaluate or simplify the following expression .
`5 xx 2- [3 - (5 - 7 + 2 " of " 4 - 19)]`

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The correct Answer is:
To evaluate or simplify the expression \( 5 \times 2 - [3 - (5 - 7 + 2 \times 4 - 19)] \), we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders (i.e., powers and roots, etc.), Division and Multiplication, Addition and Subtraction). ### Step-by-Step Solution: 1. **Evaluate the innermost bracket**: \[ 5 - 7 + 2 \times 4 - 19 \] First, calculate \( 2 \times 4 \): \[ 2 \times 4 = 8 \] Now substitute back into the expression: \[ 5 - 7 + 8 - 19 \] 2. **Perform the operations from left to right**: - Calculate \( 5 - 7 \): \[ 5 - 7 = -2 \] - Now substitute: \[ -2 + 8 - 19 \] - Calculate \( -2 + 8 \): \[ -2 + 8 = 6 \] - Now substitute: \[ 6 - 19 \] - Finally, calculate \( 6 - 19 \): \[ 6 - 19 = -13 \] 3. **Substitute back into the original expression**: Now we have: \[ 5 \times 2 - [-13] \] Which simplifies to: \[ 5 \times 2 + 13 \] 4. **Calculate \( 5 \times 2 \)**: \[ 5 \times 2 = 10 \] 5. **Add the results**: \[ 10 + 13 = 23 \] ### Final Answer: The value of the expression \( 5 \times 2 - [3 - (5 - 7 + 2 \times 4 - 19)] \) is \( 23 \).
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