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To solve the equation \( 153x - 9 - 4 = 12 \), we first simplify the left side:
1. Combine \(-9\) and \(-4\):
\[
153x - 9 - 4 = 153x - 13
\]
So the equation simplifies to:
\[
153x - 13 = 12
\]
2. Add 13 to both sides:
\[
153x = 12 + 13
\]
\[
153x = 25
\]
3. Divide both sides by 153:
\[
x = \frac{25}{153}
\]
Therefore, the value that completes the set of equations is \( x \neq \frac{25}{153} \).
Thus, the final answer is \( x \neq \frac{25}{153} \).