To solve the equation \(-11x - 30 + 6x = 0\), we follow these steps:
1. Combine like terms:
[tex]\[
-11x + 6x - 30 = 0
\][/tex]
Group the \(x\) terms together:
[tex]\[
(-11 + 6)x - 30 = 0
\][/tex]
Simplify \( -11 + 6 \):
[tex]\[
-5x - 30 = 0
\][/tex]
2. Isolate the variable \(x\):
To do this, we first move the constant term \(-30\) to the other side of the equation:
[tex]\[
-5x = 30
\][/tex]
3. Solve for \(x\):
To find \(x\), we divide both sides of the equation by \(-5\):
[tex]\[
x = \frac{30}{-5}
\][/tex]
Simplify the right side:
[tex]\[
x = -6
\][/tex]
Therefore, the solution for \(x\) is \(-6\). Thus, the correct answer is:
[tex]\[
\boxed{x = -6}
\][/tex]
So, the correct choice is:
B. [tex]\(x = -6\)[/tex]
