Let's solve the equation \(-150 = 6x - 3(-x + 14)\).

### Step-by-step solution:

1. **Distribute** the \(-3\) on the right-hand side:
   \[
   -150 = 6x - 3(-x) - 3(14)
   \]
   This simplifies to:
   \[
   -150 = 6x + 3x - 42
   \]

2. **Combine like terms** on the right-hand side:
   \[
   -150 = 9x - 42
   \]

3. **Add 42** to both sides of the equation to isolate the term with \(x\):
   \[
   -150 + 42 = 9x
   \]
   \[
   -108 = 9x
   \]

4. **Divide both sides** by 9 to solve for \(x\):
   \[
   x = \frac{-108}{9} = -12
   \]

So, the solution is:
\[
x = -12
\]

Would you like further details or clarifications?

### Related Questions:
1. How can you check if a solution to an equation is correct?
2. What are the properties of equality used in solving equations?
3. How do you simplify expressions with distribution?
4. Can you explain how to solve an equation when variables are on both sides?
5. What happens when an equation has no solution?

### Tip:
Always double-check your solution by substituting the value of \(x\) back into the original equation!

Discover how to solve the linear equation -150 = 6x - 3(-x + 14) step by step. This problem involves key algebraic concepts like distribution, combining like terms, and properties of equality. Suitable for students in Grades 7-9.

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