Let's simplify the expression \(-5(4x - 9)\):
\[ -5(4x - 9) = -5 \cdot 4x + -5 \cdot (-9) = -20x + 45 \]
Now, we can compare this result with the students' expressions:
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Lang: \(-10(2x-4)\)
\[ -10(2x - 4) = -10 \cdot 2x + -10 \cdot (-4) = -20x + 40 \quad (\text{not equivalent}) \]
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citylin: \(-20x + 45\)
\[ \text{This is equivalent!} \]
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EZRA: \(3(7x - 15) - x\)
\[ 3(7x - 15) - x = 21x - 45 - x = 20x - 45 \quad (\text{not equivalent}) \]
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Clarita: \(5 - 20(x - 2)\)
\[ 5 - 20(x - 2) = 5 - 20x + 40 = -20x + 45 \quad (\text{this is also equivalent!}) \]
Correct Answers: The students who wrote expressions equivalent to \(-5(4x - 9)\) are citylin and Clarita.