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Solve: 7+{3xx(9-3xx2)-1}...

Solve: `7+{3xx(9-3xx2)-1}`

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To solve the expression `7 + {3 × (9 - 3 × 2) - 1}`, we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). ### Step-by-Step Solution: 1. **Identify the expression**: We start with the expression: \[ 7 + \{3 \times (9 - 3 \times 2) - 1\} \] 2. **Solve the innermost parentheses**: First, we need to solve the expression inside the parentheses `(9 - 3 × 2)`. - Calculate \(3 \times 2\): \[ 3 \times 2 = 6 \] - Now substitute back into the parentheses: \[ 9 - 6 = 3 \] So, we have: \[ 7 + \{3 \times 3 - 1\} \] 3. **Multiply**: Next, we perform the multiplication: \[ 3 \times 3 = 9 \] Now, substitute this back into the expression: \[ 7 + \{9 - 1\} \] 4. **Subtract**: Now, we subtract: \[ 9 - 1 = 8 \] So, we have: \[ 7 + 8 \] 5. **Add**: Finally, we add: \[ 7 + 8 = 15 \] ### Final Answer: The final answer is: \[ \boxed{15} \]
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