Select the correct answer.What is the simplified form of this expression?(4x − 4) − 8x

1. Break Down the Problem

We need to simplify the expression $(4x - 4) - 8x$.

2. Relevant Concepts

To simplify expressions, we combine like terms. Like terms are terms that have the same variable raised to the same power. Here, we will combine terms that contain $x$ and the constant terms.

3. Analysis and Detail

Let's break down the expression: $(4x - 4) - 8x$

First, distribute the negative sign across the second term: $4x - 4 - 8x$

Now, combine the like terms:

• Combine $4x$ and $-8x$: $4x - 8x = -4x$
• The constant term remains $-4$.

So, the simplified expression is: $-4x - 4$

4. Verify and Summarize

We have simplified $(4x - 4) - 8x$ step-by-step and verified that all like terms have been combined correctly.

Final Answer

The simplified form of the expression is: $-4x - 4$