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Identify the property that justifies each step about the answer and the area below. Line 1: (8x+6)+5x line 2: (6+8x)+5x line 3: 6+(8x+5x) line 4: 6+13x. line one to line is: associative property of addition associative property of multiplication commutative property of addition. Commutative property of multiplication or disruptive property. Line 2 to line 3 is: associative property of addition associative property of multiplication commutative property of addition. Commutative property of multiplication or disruptive property

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To identify the properties that justify each step in the expression:

  1. Line 1: (8x + 6) + 5x
  2. Line 2: (6 + 8x) + 5x
  3. Line 3: 6 + (8x + 5x)
  4. Line 4: 6 + 13x

Let's identify the properties used:

Line 1 to Line 2:

  • Step: (8x + 6) + 5x → (6 + 8x) + 5x
  • Property Justified: Commutative Property of Addition
    • This property allows us to change the order of the addends. Here, you switched the position of 6 and 8x.

Line 2 to Line 3:

  • Step: (6 + 8x) + 5x → 6 + (8x + 5x)
  • Property Justified: Associative Property of Addition
    • This property allows us to group the addends in a different way. In this case, you grouped 8x and 5x together while keeping 6 at the front.

Summary:

  • From Line 1 to Line 2: Commutative Property of Addition
  • From Line 2 to Line 3: Associative Property of Addition