Questions: Simplify the expression. 10[0.4(3-5 x)] 10[0.4(3-5 x)] (Simplify your answer.)

Transcript text: Simplify the expression. \[ \begin{array}{l} 10[0.4(3-5 x)] \\ 10[0.4(3-5 x)]= \end{array} \] $\square$ (Simplify your answer.)

Solution

Solution Steps

To simplify the expression $10[0.4(3-5x)]$, we need to follow these steps:

Distribute the 0.4 inside the parentheses to both terms $3$ and $-5x$.
Multiply the result by 10 to simplify the expression further.

Step 1: Distribute the 0.4

First, distribute the $0.4$ inside the parentheses to both terms $3$ and $-5x$: \[ 0.4 \times 3 = 1.2 \] \[ 0.4 \times (-5x) = -2x \] Thus, the expression inside the brackets becomes: \[ 1.2 - 2x \]

Step 2: Multiply by 10

Next, multiply the entire expression by $10$: \[ 10 \times (1.2 - 2x) = 12 - 20x \]

Final Answer

The simplified expression is: \[ \boxed{12 - 20x} \]

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