Question

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Answer 1

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Geometry

• Supplementary Angles: Angles that add up to 180°

Explanation:

Step 1: Define

We can see from the diagram that the 2 angles are supplementary

(6x - 10)° + (7x + 8)° = 180°

Step 2: Solve for x

1. Combine like terms: 13x - 2 = 180
2. [Addition Property of Equality] Add 2 on both sides: 13x = 182
3. [Division Property of Equality] Divide 13 on both sides: x = 14