https://file.aiquickdraw.com/mathbot/file/1726688572621c1pqbujf.jpg

Let's go over the problems you've worked on based on the image.

1. **Problem 13 (Solving for x):**
   - Equations: \(9x + 0^\circ + 5x - 11^\circ = 7x - 9^\circ\)
   - Your steps show combining like terms on the left-hand side: \(14x - 11^\circ = 7x - 9^\circ\).
   - By adding \(7x\) to both sides and solving for \(x\), you found \(x = -2\).
   
   That looks correct!

2. **Problem 14 (Solving for \( m\angle GEF \)):**
   - Equation: \( m\angle GEF = 5(m\angle DEG) - 13 \) with \( m\angle DEF = 149^\circ \).
   - Your approach is unclear from the image, but you'll need to substitute the given values and solve accordingly.

3. **Problem 15 (Solving for x):**
   - Equation: \(7x - 1 = 6x - 1\).
   - You simplified this to \(x = 1\), which is correct!

4. **Problem 16 (Solving for x):**
   - Equation: \(5x + 4^\circ = 8x - 71^\circ\).
   - You simplified to \(x = 25\), which is correct!

5. **Problem 17 (Finding missing values):**
   - The given angles involve perpendicular lines (indicating 90° relationships).
   - Your setup looks correct, but there is more space to solve for the missing values.

Would you like detailed steps for any of these problems? Here are some questions for further practice:

1. Can you confirm how to calculate \( m\angle GEF \) from problem 14?
2. How would you approach solving for the missing values in problem 17?
3. Why is \( x = 1 \) correct in problem 15?
4. How do perpendicular lines help with finding missing angles in problem 17?
5. What are other methods to check solutions for linear equations?

**Tip:** Always double-check your final equations for any arithmetic mistakes.

Solve for x in a series of linear equations and geometric angle relationships, including problems involving adjacent, vertical, complementary, and supplementary angles.

This page provides a step-by-step solution to linear equations and geometric angle relationships. Problems include finding the value of x in linear equations and determining angle measures using properties like supplementary and vertical angles. Suitable for students in Grades 8-10.

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