Solve:

27x + 14 = 3(9x - 7)
Responses
A x = 0x = 0
B x = −35x = −35
C no solutionno solution
D x = 0 or x = −35x = 0 or x = −35
E infinitely many solutions

To solve the equation 27x + 14 = 3(9x - 7), we can simplify both sides of the equation and then solve for x.

Let's start by distributing the 3 on the right side of the equation:
27x + 14 = 27x - 21

Next, let's subtract 27x from both sides to isolate the variable:
14 = -21

This equation is not true, which means there is no solution. Therefore, the answer is C) no solution.