To solve the equation \( 4x + 2x = -x - 12 \), follow these steps:

1. **Combine like terms on both sides**:
   \[
   6x = -x - 12
   \]
2. **Move all terms involving \( x \) to one side** by adding \( x \) to both sides:
   \[
   6x + x = -12
   \]
   \[
   7x = -12
   \]
3. **Solve for \( x \)** by dividing both sides by 7:
   \[
   x = \frac{-12}{7}
   \]
   \[
   x = -\frac{12}{7}
   \]

Thus, the solution is \( x = -\frac{12}{7} \).

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### Related Questions:
1. How can I check if my solution to a linear equation is correct?
2. What are the steps to solve an equation with fractions?
3. How do I solve a system of linear equations with two variables?
4. What is the difference between linear and quadratic equations?
5. How can I apply this equation-solving method to real-life problems?

**Tip:** Always simplify like terms first to make the equation easier to solve.

Learn how to solve the linear equation 4x + 2x = -x - 12 by combining like terms and isolating the variable. This problem introduces essential algebraic methods for students in Grades 6-8.

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