To use the Distributive Property to rewrite the expression \( (2x - 2)(x - 6) \), we will distribute each term in the first parenthesis \( (2x - 2) \) to each term in the second parenthesis \( (x - 6) \).
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Distributing \( 2x \): \[ 2x \cdot x + 2x \cdot (-6) = 2x^2 - 12x \]
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Distributing \(-2\): \[ -2 \cdot x + (-2) \cdot (-6) = -2x + 12 \]
Now, we combine all the terms from the distribution:
\[ 2x^2 - 12x - 2x + 12 \]
Next, we combine like terms:
\[ 2x^2 - 14x + 12 \]
Thus, the rewritten expression is:
\[ \boxed{2x^2 - 14x + 12} \]