Final answer:
The equation 9(x – 3) = 9x – 27 has infinitely many solutions.
Step-by-step explanation:
To determine the number of solutions for the equation 9(x – 3) = 9x – 27, we can simplify it step by step.
1. Distribute the 9 to both terms in the parentheses: 9x - 27 = 9x - 27.
2. Subtract 9x from both sides of the equation to get rid of the x terms: -27 = -27.
3. Simplify. The equation -27 = -27 is always true.
Since the equation is always true, it means that any value of x will satisfy the equation. Therefore, the equation has infinitely many solutions.