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When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?
Original Equation:

5+(4+x)=2
First Step:

(5+4)+x=2
associative property of addition
commutative property of addition
addition property of equality
multiplication property of equality

When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?\newlineOriginal Equation:\newline5+(4+x)=2 5+(4+x)=2 \newlineFirst Step:\newline(5+4)+x=2 (5+4)+x=2 \newlineassociative property of addition\newlinecommutative property of addition\newlineaddition property of equality\newlinemultiplication property of equality

Full solution

Q. When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?\newlineOriginal Equation:\newline5+(4+x)=2 5+(4+x)=2 \newlineFirst Step:\newline(5+4)+x=2 (5+4)+x=2 \newlineassociative property of addition\newlinecommutative property of addition\newlineaddition property of equality\newlinemultiplication property of equality
  1. Rearrange equation: Drew's first step is to rearrange the equation from 5+(4+x)5+(4+x) to (5+4)+x(5+4)+x. This step involves regrouping the numbers without changing their order. This is an application of the associative property of addition, which states that the way in which numbers are grouped does not change their sum.\newline(5+4)+x=9+x(5+4)+x = 9+x

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