Cole Weaver
09/25/2023 · Senior High School
\( -3(1.5-2.2 x)-2.5(2 x-6-6) \) The first step to simplifying the expression is to combine any like terms inside the parentheses. There Applying the Distributive Property parentheses. Then distribute the coelficient in front of each set of parentheses through the parentheses. What does the expression look like now? Enter your answer by filling in the boxes. \( -3(\square)-3(\square)-2.5(\square) \)
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Tutor-Verified Answer
Step-by-step Solution
To simplify the expression \( -3(1.5-2.2 x)-2.5(2 x-6-6) \), we first need to combine like terms inside the parentheses.
1. **Combine like terms inside the parentheses:**
- For the first set of parentheses: \( 1.5 - 2.2x \) remains as is.
- For the second set of parentheses: \( 2x - 6 - 6 = 2x - 12 \).
Now the expression looks like this:
\[
-3(1.5 - 2.2x) - 2.5(2x - 12)
\]
2. **Now we apply the Distributive Property:**
- Distributing \(-3\) through the first set of parentheses:
\[
-3(1.5) + 3(2.2x) = -4.5 + 6.6x
\]
- Distributing \(-2.5\) through the second set of parentheses:
\[
-2.5(2x) + 2.5(12) = -5x + 30
\]
Putting it all together, we have:
\[
-4.5 + 6.6x - 5x + 30
\]
Now, we can fill in the boxes as follows:
\[
-3(\mathbf{1.5}) - 3(\mathbf{-2.2x}) - 2.5(\mathbf{2x - 12})
\]
So the final answer is:
\[
-3(\mathbf{1.5}) - 3(\mathbf{-2.2x}) - 2.5(\mathbf{2x - 12})
\]
Quick Answer
\[
-3(1.5) - 3(-2.2x) - 2.5(2x - 12)
\]
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