Final answer:
The equation 3x + 1 = 1/3(9x - 6) has no solution.
Step-by-step explanation:
To solve the equation 3x + 1 = 1/3(9x - 6), you need to eliminate the fraction by multiplying both sides of the equation by 3. This gives you 9x + 3 = 9x - 6. Since the 9x terms cancel out, you are left with 3 = -6, which is a contradiction. Therefore, there is no solution to the equation.