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28 March, 12:55

Consider 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 1?

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  1. 28 March, 16:06
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    Step-by-step explanation:

    Distributive property

    a (b - c) = ab - ac

    3 (x-4) = 3*x - 3*4

    = 3x - 12
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