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1 August, 10:38

onsider the sequence of steps to solve the equation: 3 (x - 4) + 5x = 9x - 36 Given ⇒ 3 (x - 4) + 5x = 9x - 36 Step 1 ⇒ 3x - 12 + 5x = 9x - 36 Step 2 ⇒ 3x + 5x - 12 = 9x - 36 Step 3 ⇒ 8x - 12 = 9x - 36 Step 4 ⇒ 8x - 8x - 12 = 9x - 8x - 36 Step 5 ⇒ 0 - 12 = x - 36 Step 6 ⇒ - 12 = x - 36 Step 7 ⇒ - 12 + 36 = x - 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 6? A) Additive Inverse Property B) Additive Identity Property C) Addition Property of Equality D) Commutative Property of Addition

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  1. 1 August, 12:41
    0
    Answer:Additive Identity Property
  2. 1 August, 13:35
    0
    3 (x - 4) + 5x = 9x - 36 Given

    (3) (x) + (3) (-4) + 5x = 9x - 36 Distributive Property

    3x - 12 + 5x = 9x - 36

    (3x + 5x) - 12 = 9x - 36 Combine like terms

    8x - 12 = 9x - 36

    8x - 8x - 12 = 9x - 8x - 36 Subtraction Property of Equality

    0 - 12 = x - 36 Additive Identity Property

    -12 = x - 36

    -12 + 36 = x - 36 + 36 Addition Property of Equality

    24 = x

    Answer: Additive Identity Property
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