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Simplify 8 – 2(3x – 36) + 4x

A. 22x - 216
B. -2x – 288
C. -2x + 80
D. X + 900

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Answer:

C. -2x + 80

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

Distributive Property

Algebra I

  • Terms/Coefficients

Explanation:

Step 1: Define

8 - 2(3x - 36) + 4x

Step 2: Simplify

  1. [Distributive Property] Distribute -2: 8 - 6x + 72 + 4x
  2. [Addition] Combine like terms (x): -2x + 8 + 72
  3. [Addition] Combine like terms (Z): -2x + 80
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