To solve the equation \( 153x - 9 - 4 = 12 \), we first simplify it.
Combine the constants on the left side:
\[ 153x - 13 = 12 \]
Next, we add 13 to both sides of the equation:
\[ 153x = 12 + 13 \] \[ 153x = 25 \]
Now, we divide both sides by 153:
\[ x = \frac{25}{153} \]
The question asks for the value that completes the set of equations in the form \( x \neq ____ \).
Since no values were excluded in the given equation, we simply note that \( x \) cannot take any other form. Hence, the value that completes the set of equations is:
\[ x \neq \frac{25}{153} \]
So, the answer is \( x \neq \frac{25}{153} \).