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Simplify the expression by arranging the steps in sequence, based on the order of operations.

Simplify The Expression By Arranging The Steps In Sequence Based On The Order Of Operations class=

Sagot :

Space

Answer:

[tex]\displaystyle 6x - 5[/tex]

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/Degrees

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)[/tex]

Step 2: Simplify

  1. Distribute:                           [tex]\displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)[/tex]
  2. Multiply:                              [tex]\displaystyle 5x + 4 - 9 + x[/tex]
  3. Rearrange:                          [tex]\displaystyle 5x + x + 4 - 9[/tex]
  4. Combine like terms:          [tex]\displaystyle 6x - 5[/tex]
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