Let's simplify the two expressions step by step.
Expression 1: Simplify \( 2x - 4(x + 2) \)
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Distribute the -4: \[ 2x - 4(x + 2) = 2x - 4x - 8 \]
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Combine like terms: \[ 2x - 4x - 8 = -2x - 8 \]
So the simplified form of the first expression is \(-2x - 8\).
Expression 2: Simplify \( (4x + 5y) - 2(3x - 7y) \)
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Distribute the -2: \[ (4x + 5y) - 2(3x - 7y) = 4x + 5y - 6x + 14y \]
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Combine like terms: \[ 4x - 6x + 5y + 14y = -2x + 19y \]
So the simplified form of the second expression is \(-2x + 19y\).
Final Answers:
- Expression 1: \(-2x - 8\)
- Expression 2: \(-2x + 19y\)
If you have the options provided, the first expression corresponds to \(-2x - 8\), and the second one does not match any of the responses you provided. Thus, the correct answer for the second expression should be \(-2x + 19y\).