Solve for x to determine if the equation has one, none, or infinite solutions.

11x=3(7x−1)−10x (1 point)
Responses

The equation has infinite solutions.
The equation has infinite solutions.

The equation has one solution: x=−1.
The equation has one solution: x equals negative 1 .

The equation has one solution: x=−3.
The equation has one solution: x equals negative 3 .

The equation has no solution.

To solve for x, we will first simplify the equation:

11x = 3(7x - 1) - 10x
11x = 21x - 3 - 10x
11x = 11x - 3
0 = -3

This results in a contradiction, which means that the equation has no solution.