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The problem involves solving for \( x \) in a diagram showing two angles: \( 93^\circ \) and another angle labeled \( (3x + 18)^\circ \). These two angles appear to be supplementary, as they are adjacent and form a straight line.

### Step-by-step solution:
1. **Supplementary Angles Property**: The two angles on a straight line must sum to \( 180^\circ \).
   \[
   93^\circ + (3x + 18)^\circ = 180^\circ
   \]

2. **Simplify the equation**:
   \[
   93 + 3x + 18 = 180
   \]
   Combine like terms:
   \[
   111 + 3x = 180
   \]

3. **Isolate the variable**:
   Subtract 111 from both sides:
   \[
   3x = 180 - 111
   \]
   \[
   3x = 69
   \]

4. **Solve for \( x \)**:
   Divide both sides by 3:
   \[
   x = \frac{69}{3} = 23
   \]

Thus, the value of \( x \) is **23**.

Would you like a more detailed explanation or have any further questions? 

Here are some related questions for further practice:
1. What are complementary angles?
2. If the sum of two angles is \( 90^\circ \), what do we call those angles?
3. How do you solve for angles in a triangle?
4. What is the angle sum property of a triangle?
5. How do you calculate the exterior angle of a triangle?

**Tip**: Always remember that angles on a straight line sum to \( 180^\circ \), which helps in solving for unknowns in many geometry problems.

Solve x. The diagram shows two angles: one labeled 93° and the other labeled (3x + 18)°. These angles appear to be supplementary as they form a straight line.

Learn how to solve for x in a geometry problem involving supplementary angles. The problem shows two angles that form a straight line, one labeled 93° and the other (3x + 18)°. Using algebra, this problem is suitable for students in Grades 6-8.

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