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Evaluate: [{(11-5)xx7}+6]xx2...

Evaluate:
`[{(11-5)xx7}+6]xx2`

Text Solution

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The correct Answer is:
To evaluate the expression `[{(11-5)xx7}+6]xx2`, we will follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Let's break it down step by step: ### Step 1: Solve the innermost parentheses We start with the expression inside the smallest parentheses: \[ 11 - 5 \] Calculating this gives: \[ 11 - 5 = 6 \] ### Step 2: Substitute back into the expression Now we substitute this result back into the expression: \[ [{(6)xx7}+6]xx2 \] ### Step 3: Perform the multiplication inside the curly brackets Next, we perform the multiplication: \[ 6 \times 7 = 42 \] ### Step 4: Substitute back into the expression Now we substitute this result back into the expression: \[ [42 + 6] \times 2 \] ### Step 5: Perform the addition inside the square brackets Now we perform the addition: \[ 42 + 6 = 48 \] ### Step 6: Substitute back into the expression Now we substitute this result back into the expression: \[ 48 \times 2 \] ### Step 7: Perform the final multiplication Finally, we perform the multiplication: \[ 48 \times 2 = 96 \] ### Final Answer Thus, the final answer is: \[ \boxed{96} \]
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