Look at the steps for solving the equation and choose a true statement.

Question

3x−9x+1=2(−3x+1)−1

−6x+1=−6x+2−1

−6x+1=−6x+1

(1 point)
Responses

There are infinitely many solutions to the equation.

The only solution to the equation is 1

There are no solutions to the equation.

There is no way to know if there is a solution to the equation.

The only solution to the equation is -6

Answer 1

Let's analyze the steps provided for solving the equation \(3x - 9x + 1 = 2(-3x + 1) - 1\).

The final result of the equation after simplification is:

\[ -6x + 1 = -6x + 1 \]

Since both sides of the equation are identical, this indicates that the equation is true for all values of \(x\).

Thus, the correct response is:

There are infinitely many solutions to the equation.