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The problem asks to evaluate the limit:

\[
\lim_{x \to -2} (3x - 7)
\]

### Solution:
This is a straightforward limit evaluation. Since the function \( 3x - 7 \) is linear, the limit can be evaluated by direct substitution. Substitute \( x = -2 \) into the expression:

\[
3(-2) - 7 = -6 - 7 = -13
\]

Thus, the limit is:

\[
\lim_{x \to -2} (3x - 7) = -13
\]

Would you like further explanation on the concept of limits, or do you have any other questions?

Here are 5 questions to extend your understanding:
1. How do limits behave for polynomial functions?
2. What are the different types of limits (one-sided, infinite)?
3. How does substitution work for evaluating limits?
4. What happens when direct substitution results in an indeterminate form?
5. How can limits be used to determine continuity?

**Tip:** For linear functions, limits at any point can always be found through direct substitution because they are continuous everywhere.

Learn how to evaluate the limit lim(x→-2) (3x - 7) using the substitution method. This problem covers fundamental concepts in limits and algebra, suitable for students in Grades 9-12.

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