Question

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Answer 1

the first one is equivalent and the second one isnt.

Explanation:

if you break down 4x you have 4 times x which is x 4 times hence x + x + x + x.

same thing goes with 5x which would make it x+x+x+x+x not 5 + x

Answer 2

9514 1404 393

Answer:

1. yes

2. no

Explanation:

1. We can use the distributive property to rewrite the sum.

x + x + x + x = 1x +1x +1x +1x = (1+1+1+1)x = 4x

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2. 5x = (x + x + x + x + x) ≠ (x + 5)

Multiplication by a factor is not the same as addition of that factor.

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We often use juxtaposition to indicate multiplication in algebraic expressions. That is 2x = 2·x. Of course, multiplication is a shorthand way to write repeated addition, so 2x = x + x (the value x appears 2 times in the sum).