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Question
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

Answer 1

To solve the equation \( 27x + 14 = 3(9x - 7) \), we first expand the right side:

\[ 3(9x - 7) = 27x - 21 \]

Now, we can rewrite the equation:

\[ 27x + 14 = 27x - 21 \]

Next, we can subtract \( 27x \) from both sides:

\[ 14 = -21 \]

This statement is false, which indicates that there are no values of \( x \) that satisfy the equation.

Thus, the correct response is:

C. no solution