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4. \\(\\frac{1}{3}(x - 9)\\) 7. \\(\\frac{2}{3}(x + 18 - 2x)\\) determi…

Question

  1. \\(\frac{1}{3}(x - 9)\\)
  2. \\(\frac{2}{3}(x + 18 - 2x)\\)

determine which expressions, if an

Explanation:

Step1: Expand expression 4

$\frac{1}{3}(x - 9) = \frac{1}{3}x - \frac{9}{3} = \frac{1}{3}x - 3$

Step2: Simplify inside expression 7

$x + 18 - 2x = -x + 18$

Step3: Expand simplified expression 7

$\frac{2}{3}(-x + 18) = -\frac{2}{3}x + \frac{36}{3} = -\frac{2}{3}x + 12$

Answer:

Simplified expression 4: $\boldsymbol{\frac{1}{3}x - 3}$
Simplified expression 7: $\boldsymbol{-\frac{2}{3}x + 12}$