Simplify the following algebraic expression

Explanation

• Use the associative property of multiplication to regroup the factors
  • 35(\(\frac{4}{5}x\)) = (\(\frac{35}{1}\) • \(\frac{4}{5}\))x
• Factor 35 as 5 • 7 and then remove the common factor 5
  • = (\(\require{cancel} \frac{\cancel{5}^1 \cdot  7 \cdot  4}{1 \cdot \cancel{5}_1}\))x
• Do the multiplication and then simplify: \(\frac{28}{1}\) = 28
  • = 28x