# SOLUTION: The question begins: "State the property that justifies each step when simplifying the expression": 3x + (5 + 6x) = 3x + (6x + 5) __________ = (3x + 6x) + 5

Algebra ->  Algebra  -> Distributive-associative-commutative-properties -> SOLUTION: The question begins: "State the property that justifies each step when simplifying the expression": 3x + (5 + 6x) = 3x + (6x + 5) __________ = (3x + 6x) + 5       Log On

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 Algebra: Distributive, associative, commutative properties, FOIL Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Distributive-associative-commutative-properties 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(28593)   (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