Question

Select the TWO expressions that are equivalent to the given expression.

(2x+2)−(3x+11)


(1 point)
Responses

2x−3x+2−11
2 x minus 3 x plus 2 minus 11

5x+13
5 x plus 13

5x+9
5 x plus 9

−x−9
negative x minus 9

2x−3x+2+11
2 x minus 3 x plus 2 plus 11

−x+13
negative x plus 13

−x+9
negative x plus 9
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Answer 1

To find which expressions are equivalent to \((2x + 2) - (3x + 11)\), we can simplify the expression step by step:

1. Expand the expression:
\[
(2x + 2) - (3x + 11) = 2x + 2 - 3x - 11
\]

2. Combine like terms:
\[
2x - 3x + 2 - 11 = -x - 9
\]

Now, we can compare this result, \(-x - 9\), with the provided options.

The expressions you are looking for that are equivalent to \((2x + 2) - (3x + 11)\) are:

- **−x−9** (negative x minus 9)
- **2x−3x+2−11** (2 x minus 3 x plus 2 minus 11)

Therefore, the correct responses are:
1. \(2x - 3x + 2 - 11\)
2. \(-x - 9\)