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Which expression is equivalent to 6(x+2)6(x + 2)?\newlineChoices:\newline(A) 8x8x\newline(B) 12x+612x + 6\newline(C) 6x+126x + 12\newline(D) 12x12x

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Q. Which expression is equivalent to 6(x+2)6(x + 2)?\newlineChoices:\newline(A) 8x8x\newline(B) 12x+612x + 6\newline(C) 6x+126x + 12\newline(D) 12x12x
  1. Distribute 66: Distribute the 66 to both terms inside the parentheses.\newline6(x+2)=6×x+6×26(x + 2) = 6\times x + 6\times 2
  2. Perform multiplication: Perform the multiplication.\newline6×x=6x6 \times x = 6x\newline6×2=126 \times 2 = 12\newlineSo, 6(x+2)=6x+126(x + 2) = 6x + 12
  3. Match with choices: Match the result with the given choices.\newlineThe expression 6x+126x + 12 matches choice (C)(C).

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