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

-x-4=-4
First Step:

-x=0
distributive property of multiplication over addition
associative property of multiplication
addition property of equality
commutative property of multiplication

When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?\newlineOriginal Equation:\newlinex4=4 -x-4=-4 \newlineFirst Step:\newlinex=0 -x=0 \newlinedistributive property of multiplication over addition\newlineassociative property of multiplication\newlineaddition property of equality\newlinecommutative property of multiplication

Full solution

Q. When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?\newlineOriginal Equation:\newlinex4=4 -x-4=-4 \newlineFirst Step:\newlinex=0 -x=0 \newlinedistributive property of multiplication over addition\newlineassociative property of multiplication\newlineaddition property of equality\newlinecommutative property of multiplication
  1. Addition Property of Equality: Gabrielle's first step is to go from the original equation x4=4-x - 4 = -4 to x=0-x = 0. To do this, she adds 44 to both sides of the equation. This step is justified by the addition property of equality, which states that if you add the same number to both sides of an equation, the equality is still maintained.\newlineCalculation: x4+4=4+4-x - 4 + 4 = -4 + 4 results in x=0-x = 0.

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