Rewrite in simplest terms: 0.5(-6x-9x+4)-0.4 x Answer:

Combine like terms: Combine like terms within the parentheses. We have -6x and -9x which are like terms, so we add them together. -6x - 9x = -15x So the expression within the parentheses simplifies to -15x + 4.Distribute 0.5: Distribute the 0.5 across the terms inside the parentheses. 0.5 * (-15x) + 0.5 * 4 = -7.5x + 2Combine terms: Combine the result from Step 2 with the remaining term -0.4x. We have -7.5x from the distribution and -0.4x outside the parentheses. -7.5x - 0.4x = -7.9xAdd constant term: Add the constant term from Step 2 to the expression. We have -7.9x from Step 3 and +2 from Step 2. The final simplified expression is -7.9x + 2.

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Rewrite in simplest terms:
0.5(-6x-9x+4)-0.4 x
Answer:

Rewrite in simplest terms: $0.5(-6 x-9 x+4)-0.4 x$ $\newline$ Answer:

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Math Problems

Grade 6

Factor variable expressions using the distributive property

Full solution

Q. Rewrite in simplest terms:

0.5(-6 x-9 x+4)-0.4 x

\newline

Answer:

Combine like terms: Combine like terms within the parentheses. $\newline$ We have $-6x$ and $-9x$ which are like terms, so we add them together. $\newline$ $-6x - 9x = -15x$ $\newline$ So the expression within the parentheses simplifies to $-15x + 4$ .
Distribute $0.5$ : Distribute the $0.5$ across the terms inside the parentheses. $0.5 \times (-15x) + 0.5 \times 4 = -7.5x + 2$
Combine terms: Combine the result from Step $2$ with the remaining term $-0.4x$ . $\newline$ We have $-7.5x$ from the distribution and $-0.4x$ outside the parentheses. $\newline$ $-7.5x - 0.4x = -7.9x$
Add constant term: Add the constant term from Step $2$ to the expression. $\newline$ We have $-7.9x$ from Step $3$ and $+2$ from Step $2$ . $\newline$ The final simplified expression is $-7.9x + 2$ .