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Question Identify the property that justifies each step asked about in the answer area below. Line 1: \( (5+x) x \) Line 2: \( x(5+x) \) Answer Attempt 1 out of 2

Ask by Rodriguez Martinez. in the United States
Feb 26,2025

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The property that justifies the step from Line 1 to Line 2 is the **Commutative Property of Multiplication**.

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Beyond the Answer

The property that justifies the step from Line 1 to Line 2 is the Commutative Property of Multiplication, which states that changing the order of the factors does not change the product. Thus, \( (5+x) x \) can be rearranged to \( x(5+x) \) without altering the value. This property is particularly handy when simplifying expressions, especially when variables and constants are involved. By applying the Commutative Property, you can simplify calculations and make further algebraic manipulations much easier and more intuitive!

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