Question

Which expressions are equivalent to 6 +(–x) + 2x + (–7) + 2x? Check all that apply.

Answer 1

[AI-generated answer — Explain Bot]

To determine which expressions are equivalent to 6 +(–x) + 2x + (–7) + 2x, we can simplify the given expression by combining like terms.

6 +(–x) + 2x + (–7) + 2x

First, let's combine the -x term and the 2x term:

(-x + 2x + 2x) + 6 + (-7)

Simplifying this further:

(3x) + 6 + (-7)

Now combine the constants:

3x - 1

So the equivalent expression is 3x - 1.

Now let's check the options provided:

A. 8x - 1: This is not equivalent since the coefficient of x is different.

B. -3 + 6x: This is not equivalent since the constant term is different.

C. -1 + 3x: This is equivalent since it matches our simplified expression 3x - 1.

D. -x - 1: This is not equivalent since the coefficients of x are different.

Therefore, the expressions that are equivalent to 6 +(–x) + 2x + (–7) + 2x are:

C. -1 + 3x