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The solution to the equation is \( x = -8 \).

Would you like a detailed explanation of how this solution was found, or do you have any questions?

Here are some related questions for further exploration:
1. What happens if \( x = 1 \) is substituted into the equation?
2. How do you find the domain of the equation?
3. What are the steps for simplifying rational expressions?
4. How do you solve rational equations involving more than two terms?
5. What are common methods for finding common denominators?

**Tip:** Always check for any restrictions on the domain (e.g., values that make denominators zero) when solving rational equations.

Solve the equation: (x + 1) / (x - 1) = (-3) / (x + 3) + 8 / (x^2 + 2x - 3). List all valid solutions, separated by commas.

Learn how to solve the rational equation (x + 1) / (x - 1) = (-3) / (x + 3) + 8 / (x^2 + 2x - 3). This problem includes rational equation simplification, factoring quadratics, and using the zero product property. Suitable for students in Grades 10-12.

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