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The problem asks for an expression equivalent to \( -3x - 5 \). Let's analyze the given choices one by one.

### Choice A: \( (x - 7) + (2 - 4x) \)
Expanding this:
\[
(x - 7) + (2 - 4x) = x - 7 + 2 - 4x = -3x - 5
\]
This matches the original expression.

### Choice B: \( -1 + (x - 4x) + 6 \)
Simplifying inside the parentheses:
\[
x - 4x = -3x
\]
Now, expand the rest:
\[
-1 + (-3x) + 6 = -3x + 5
\]
This does not match the original expression.

### Choice C: \( -1 + 3x - (2x + 6) \)
Expanding:
\[
-1 + 3x - 2x - 6 = x - 7
\]
This does not match the original expression.

### Choice D: \( (-4x - 6) + (2 + 5x) \)
Expanding:
\[
-4x - 6 + 2 + 5x = x - 4
\]
This does not match the original expression.

Thus, the correct answer is **Choice A**.

Would you like more details or have any questions?

Here are five related questions for practice:
1. How do you distribute terms in expressions like \( (x - 7) + (2 - 4x) \)?
2. What are the steps to combine like terms in an algebraic expression?
3. How do you identify equivalent expressions in algebra?
4. What is the process for simplifying complex algebraic expressions?
5. How can you check if two expressions are equal?

**Tip:** When simplifying expressions, always combine like terms and maintain the sign of each term for accuracy.

Which expression is equivalent to -3x - 5?

Learn how to find equivalent expressions for -3x - 5 by expanding and simplifying algebraic terms. This problem focuses on key algebraic skills like combining like terms and using the distributive property, suitable for Grades 6-8.

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