Question

Which expression is equivalent to −3x −5
?(1 point)
Responses

(x−7)+(2−4x)
left parenthesis x minus 7 right parenthesis plus left parenthesis 2 minus 4 x right parenthesis

−1+(x−4x)+6
negative 1 plus left parenthesis x minus 4 x right parenthesis plus 6

−1+3x−(2x+6)
negative 1 plus 3 x minus left parenthesis 2 x plus 6 right parenthesis

(−4x−6)+(2+5x)
left parenthesis negative 4 x minus 6 right parenthesis plus left parenthesis 2 plus 5 x right parenthesis
ABC or D?

Answer 1

is A,B,C, orD?

Answer 2

is it the second response?

Answer 3

To determine which expression is equivalent to \( -3x - 5 \), we will simplify each of the given options one by one.

1. **Option A:** \((x - 7) + (2 - 4x)\)
\[
= x - 7 + 2 - 4x
\]
\[
= x - 4x - 7 + 2
\]
\[
= -3x - 5
\]
This is equivalent to \( -3x - 5 \).

2. **Option B:** \(-1 + (x - 4x) + 6\)
\[
= -1 + x - 4x + 6
\]
\[
= -1 + 6 - 3x
\]
\[
= 5 - 3x
\]
This is not equivalent to \( -3x - 5 \).

3. **Option C:** \(-1 + 3x - (2x + 6)\)
\[
= -1 + 3x - 2x - 6
\]
\[
= -1 - 6 + 3x - 2x
\]
\[
= -7 + x
\]
This is not equivalent to \( -3x - 5 \).

4. **Option D:** \((-4x - 6) + (2 + 5x)\)
\[
= -4x - 6 + 2 + 5x
\]
\[
= (-4x + 5x) + (-6 + 2)
\]
\[
= 1x - 4
\]
This is not equivalent to \( -3x - 5 \).

The only option that simplifies to \( -3x - 5 \) is **Option A**.

Therefore, the answer is **A**.

Answer 4

The answer is **A**.

The expression \( (x - 7) + (2 - 4x) \) simplifies to \( -3x - 5 \), which is equivalent to the original expression \( -3x - 5 \).

So the correct choice is **A**.

Answer 5

Let’s clarify this step by step with the second response you provided, which was:

**B:** \(-1 + (x - 4x) + 6\)

Now, simplifying this expression:

1. Combine like terms inside the parentheses:
\[
x - 4x = -3x
\]

2. Substitute back into the expression:
\[
= -1 + (-3x) + 6
\]

3. Combine the constants:
\[
-1 + 6 = 5
\]

Putting it all together:
\[
= 5 - 3x
\]

So, this simplifies to \( 5 - 3x \), which is **not** equivalent to \( -3x - 5 \).

To confirm, let’s recap the previous options:

- **A:** \((x - 7) + (2 - 4x)\) simplifies to \(-3x - 5\).
- **B:** \(-1 + (x - 4x) + 6\) simplifies to \(5 - 3x\).
- **C:** \(-1 + 3x - (2x + 6)\) simplifies to \(x - 7\).
- **D:** \((-4x - 6) + (2 + 5x)\) simplifies to \(x - 4\).

Thus, the correct option, which is equivalent to \( -3x - 5 \), is still **A**.

If you are referencing **B** specifically, it does not simplify to \( -3x - 5\). The correct response is indeed **A**. If there's any other confusion or specific detail you'd like to clarify, please feel free to ask!