Rewrite in simplest terms: 5, left parenthesis, 0, point, 1, x, minus, 0, point, 2, right parenthesis, plus, 10, x5(0.1x−0.2)+10x

1 answer

To simplify the expression \( 5(0.1x - 0.2) + 10x \):

  1. Distribute the 5: \[ 5 \cdot 0.1x - 5 \cdot 0.2 = 0.5x - 1 \]

  2. Now combine this with \( 10x \): \[ 0.5x - 1 + 10x \]

  3. Combine the \( x \) terms: \[ 0.5x + 10x = 10.5x \]

  4. So the final simplified expression is: \[ 10.5x - 1 \]

Therefore, the simplified expression is \( 10.5x - 1 \).