Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.
Negative 9 (two-thirds x) + 9 (1)
Negative 9 (two-thirds x) minus 9 (1)
Negative 9 (two-thirds x) + 1
–6x + 1
–6x + 9
–6x – 9

Explanation:

Before we begin, remember the following rules:

1- Distribution property:

2- Simplification of fractions:

3- Signs in multiplication:

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

Now, for the given problem, we have:

Starting with the distributive property:

..................>This corresponds to option 1

Now, we simplify the output from the above step:

................> This corresponds to option 5

Hope this helps :)

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