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To solve the equation \(153x - 9 - 4 = 12\), we will first simplify it:
1. Combine like terms:
\[
153x - 13 = 12.
\]
2. Add 13 to both sides:
\[
153x = 12 + 13,
\]
\[
153x = 25.
\]
3. Now, divide both sides by 153 to solve for \(x\):
\[
x = \frac{25}{153}.
\]
Now we must state the value that completes the set of equations as \(x \neq\).
Thus, the value that completes the set of equations is:
\[
\boxed{\frac{25}{153}}.
\]
So, the statement would be \(x \neq \frac{25}{153}\).