To use the Distributive Property and simplify the expression \(2(x^2 - x) + 6x - 3 - 7x\), follow these steps:
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Apply the Distributive Property to the first term:
\[ 2(x^2 - x) = 2x^2 - 2x \]
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Rewrite the expression with the simplified first term:
\[ 2x^2 - 2x + 6x - 3 - 7x \]
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Combine like terms:
- Combine the \(x\) terms: \(-2x + 6x - 7x\) \[ -2x + 6x = 4x \] \[ 4x - 7x = -3x \]
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Now, rewrite the entire expression with combined like terms:
\[ 2x^2 - 3x - 3 \]
So, the simplified expression is \(2x^2 - 3x - 3\).
The correct answer is C. 2x^2 - 3x - 3.
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