To simplify the expression \( 12 + 6(3x - 2) \), we need to follow the order of operations.
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First, calculate \( 6(3x - 2) \): \[ 6(3x - 2) = 6 \cdot 3x - 6 \cdot 2 = 18x - 12 \]
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Then, add 12 to this result: \[ 12 + (18x - 12) = 18x \]
Based on the calculations, the correct statements regarding the simplification of the expression are:
- First calculate \( 6(3x - 2) \) (this is true).
- 12 + 6(3x - 2) = 18x (this is also true).
Now, let's verify the other statements:
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First calculate \( 12 + 6 \): This is not necessary for simplifying the given expression, so it is incorrect.
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12 + 6(3x - 2) = 54x - 36: This is incorrect based on our calculations.
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12 + 6(3x - 2) = 18x - 24: This is incorrect as well.
Thus, the two correct statements are:
- "First calculate \( 6(3x - 2) \)".
- "12 + 6(3x - 2) = 18x".