Let's simplify the expression \(\frac{-6x - 6}{3}\).

Given:
\[
\frac{-6x - 6}{3}
\]

We can split this fraction into two separate fractions:
\[
\frac{-6x}{3} + \frac{-6}{3}
\]

Now, simplify each term:

1. \(\frac{-6x}{3} = -2x\)
2. \(\frac{-6}{3} = -2\)

Therefore, the simplified expression is:
\[
-2x - 2
\]

So, \(\frac{-6x - 6}{3}\) simplifies to \(-2x - 2\), **not** \(-2x - 3\) or \(-6x\).

Would you like further details on this or have any questions?

Here are some related questions:
1. How do you simplify expressions with multiple terms in the numerator?
2. What are common mistakes when simplifying algebraic expressions?
3. How do you factor out common terms in an algebraic expression?
4. Can you explain how to handle negative signs when simplifying fractions?
5. How do you distribute and combine like terms in algebraic expressions?

**Tip:** Always distribute any common factor or term in the denominator to all terms in the numerator when simplifying a fraction.

Learn how to simplify the expression (-6x - 6)/3 to -2x - 2 step-by-step with detailed explanations. This problem covers algebraic concepts, including fraction simplification. Suitable for students in Grades 7-9.

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