To solve the equation \(153x - 9 - 4 = 12\), we will first simplify it:
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Combine like terms: \[ 153x - 13 = 12. \]
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Add 13 to both sides: \[ 153x = 12 + 13, \] \[ 153x = 25. \]
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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 \(x \neq \frac{25}{153}\).