To solve the equation \( 16x + 8 = -6x + 36 + 8 \), follow these steps:

1. **Simplify both sides:**
   - Combine like terms on the right-hand side: \( 36 + 8 = 44 \).
   - The equation becomes:  
   \[
   16x + 8 = -6x + 44
   \]

2. **Move all terms involving \(x\) to one side:**
   - Add \(6x\) to both sides to move all \(x\)-terms to the left:  
   \[
   16x + 6x + 8 = 44
   \]
   - This simplifies to:  
   \[
   22x + 8 = 44
   \]

3. **Move the constant term to the right side:**
   - Subtract 8 from both sides:  
   \[
   22x = 44 - 8
   \]
   - This simplifies to:  
   \[
   22x = 36
   \]

4. **Solve for \(x\):**
   - Divide both sides by 22:  
   \[
   x = \frac{36}{22} = \frac{18}{11}
   \]

So, the solution is \( x = \frac{18}{11} \).

Would you like more details or have any questions?

Here are 5 related questions to expand on this:
1. How do you simplify an equation with multiple terms?
2. What is the importance of isolating variables in an equation?
3. Can you explain how to handle negative coefficients?
4. What happens if the equation has no solution or infinitely many solutions?
5. How do you check if your solution to an equation is correct?

**Tip:** Always simplify the equation as much as possible before solving for the variable to avoid mistakes.

Explore the step-by-step solution for the linear equation 16x + 8 = -6x + 36 + 8. This problem demonstrates how to simplify expressions, isolate variables, and solve for x. Suitable for students in Grades 8-10.

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