To solve the equation \(-9(x+6)=-9x +108\), let's simplify both sides.
Start by distributing \(-9\) on the left-hand side: \[ -9(x + 6) = -9x - 54 \]
So the equation becomes: \[ -9x - 54 = -9x + 108 \]
Now, let's move \(-9x\) from the left side to the right side: \[ -54 = 108 \]
Since \(-54\) does not equal \(108\), this means there are no values of \(x\) that satisfy the equation.
Therefore, the answer is:
(Choice A) No solutions