1. **State the problem:** Simplify the expression $$\frac{(x+1)3}{x}$$. 2. **Rewrite the expression:** The numerator is the product of $(x+1)$ and $3$, so we have: $$\frac{3(x+1)}{x}$$ 3. **Distribute the numerator:** $$\frac{3x + 3}{x}$$ 4. **Split the fraction:** $$\frac{3x}{x} + \frac{3}{x}$$ 5. **Simplify the first term:** $$\frac{\cancel{3} \cancel{x}}{\cancel{x}} + \frac{3}{x} = 3 + \frac{3}{x}$$ 6. **Final simplified expression:** $$3 + \frac{3}{x}$$ This is the simplified form of the original expression.