To simplify the expression \( 7(2x - 4) \) using the distributive property, you multiply each term inside the parentheses by 7.
Here's the calculation:
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Multiply \( 7 \) by \( 2x \): \[ 7 \cdot 2x = 14x \]
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Multiply \( 7 \) by \( -4 \): \[ 7 \cdot -4 = -28 \]
Now, combine the results:
\[ 7(2x - 4) = 14x - 28 \]
So, the simplified expression is: \[ 14x - 28 \]