1. **State the problem:** Simplify the expression $$9w + 9 + \frac{5}{w^2x}$$ and express it as a single fraction in simplest form. 2. **Rewrite the expression:** The first two terms are polynomials, and the last term is a rational expression. To combine them, write the polynomial terms with a common denominator $$w^2x$$: $$9w + 9 = \frac{(9w + 9) \cdot w^2x}{w^2x} = \frac{9w \cdot w^2x + 9 \cdot w^2x}{w^2x} = \frac{9w^3x + 9w^2x}{w^2x}$$ 3. **Add the fractions:** Now add the rational term: $$\frac{9w^3x + 9w^2x}{w^2x} + \frac{5}{w^2x} = \frac{9w^3x + 9w^2x + 5}{w^2x}$$ 4. **Simplify the numerator if possible:** The numerator is $$9w^3x + 9w^2x + 5$$. Factor out common terms if any: $$9w^2x(w + 1) + 5$$ but since 5 is separate, no further factoring is possible. 5. **Final answer:** The simplified expression as a single fraction is: $$\boxed{\frac{9w^3x + 9w^2x + 5}{w^2x}}$$ This is the simplest form since numerator and denominator share no common factors.