What value will complete the set of equations 153x−9−4=12 and x≠ _____?(1 point) The value that completes the set of equations is x≠ .

To solve the equation \( 153x - 9 - 4 = 12 \), first simplify the equation:

1. Combine like terms on the left side:
\[
153x - 13 = 12
\]

2. Next, isolate the term with \( x \) by adding 13 to both sides:
\[
153x = 12 + 13
\]
\[
153x = 25
\]

3. Finally, solve for \( x \) by dividing both sides by 153:
\[
x = \frac{25}{153}
\]

The solution shows the value of \( x \).

Now for the condition \( x \neq \) where it should not equal something specific, we look at our operations. Since there were no restrictions or denominators that could lead to undefined values (i.e., no division by zero), the only restriction on \( x \) is extreme values outside of our equation.

Since \( x \) calculated is \( \frac{25}{153} \), the phrase \( x \neq \) typically refers to values that pose a problem in context. In this case, we should highlight the calculated solution. Thus:

**The value that completes the set of equations is \( x \neq \frac{25}{153} \)**.