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

-3x+x^(2)-3=0
First Step:

x^(2)-3x-3=0
associative property of multiplication
commutative property of multiplication
commutative property of addition
addition property of equality

When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step?\newlineOriginal Equation:\newline3x+x23=0 -3 x+x^{2}-3=0 \newlineFirst Step:\newlinex23x3=0 x^{2}-3 x-3=0 \newlineassociative property of multiplication\newlinecommutative property of multiplication\newlinecommutative property of addition\newlineaddition property of equality

Full solution

Q. When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step?\newlineOriginal Equation:\newline3x+x23=0 -3 x+x^{2}-3=0 \newlineFirst Step:\newlinex23x3=0 x^{2}-3 x-3=0 \newlineassociative property of multiplication\newlinecommutative property of multiplication\newlinecommutative property of addition\newlineaddition property of equality
  1. Rearrange terms: Emily's first step in solving the equation is to rearrange the terms from 3x+x23=0-3x + x^2 - 3 = 0 to x23x3=0x^2 - 3x - 3 = 0. This rearrangement does not change the value of the equation but changes the order of the terms. The property that allows the rearrangement of terms in an addition or subtraction operation is the commutative property of addition.

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