SOLUTION: The question begins: "State the property that justifies each step when simplifying the expression":
3x + (5 + 6x) = 3x + (6x + 5) __________
= (3x + 6x) + 5
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Question 95214: The question begins: "State the property that justifies each step when simplifying the expression":
3x + (5 + 6x) = 3x + (6x + 5) __________
= (3x + 6x) + 5 __________
= (3 + 6)x + 5 __________
= 9x + 5 __________
They all seem to be the associative property of addition, but that seems too easy. Any clue?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Commutative property of addition (the terms 5 and 6x switched places)
= Associative property of addition (the parenthesis was moved from the group to )
= Distributive property (the x term was factored out. Notice if you distribute, you get again)
= None of the four properties (Associative, Commutative, Distributive, or Additive Identity ) aren't in use in this step. You are simply adding 3 and 6 to get 9
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