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The following expression has been simplified one step at a time. Match each step with the property used to get to that step. (Note: The column that lists the algebraic expressions is already in the correct order.)
(6x + 3) - 5x
1. (3 + 6x) - 5x
2. 3 + (6x - 5x)
3. 3 + (6 - 5)x
4. 3 + (1)x
5. 3 + x

associative, commutative, subtraction, multiplicative identity, distributive

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sqdancefan

Answer and Explanation:

  1. commutative (the order of 3 and 6x is swapped in the sum)
  2. associative (parentheses are moved to a different pair of terms)
  3. distributive (x is factored from the two terms)
  4. subtraction (the difference 6-5 is computed)
  5. multiplicative identity (1 times anything is that thing)

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