To simplify the expression \((2 + 4 \div 8 + 10) - 7(2 + 4 \div 8 + 10)\), we first simplify the expression inside the parentheses.
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Calculate \(4 \div 8\): \[ 4 \div 8 = 0.5 \]
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Substitute this back into the expression: \[ 2 + 0.5 + 10 \]
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Calculate \(2 + 0.5 + 10\): \[ 2 + 0.5 = 2.5 \] \[ 2.5 + 10 = 12.5 \]
Now we substitute \(12.5\) back into the original expression: \[ (12.5) - 7(12.5) \]
Next, calculate \(7(12.5)\): \[ 7 \times 12.5 = 87.5 \]
Now, substitute this into the expression: \[ 12.5 - 87.5 \]
Finally, calculate: \[ 12.5 - 87.5 = -75 \]
Thus, the simplified expression is: \[ \boxed{-75} \]