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question when solving an equation, robert’s first step is shown below. which property justifies robert’s first step? original equation: 1 + (2 + x) = 4 first step: (1 + 2) + x = 4 answer associative property of multiplication addition property of equality distributive property of multiplication over addition associative property of addition
The associative property of addition states that for any real numbers $a$, $b$, and $c$, $(a + b)+c=a+(b + c)$. In the original equation $1+(2 + x)=4$, the first - step $(1 + 2)+x = 4$ just changes the grouping of the addition operation on the left - hand side, which is in line with the associative property of addition.
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associative property of addition