Question

Question 13
Simplify the expression 9.1(x+2)+2.7(x−3.6).


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Answer 1

To simplify the expression \( 9.1(x+2) + 2.7(x-3.6) \), we can start by distributing the coefficients \( 9.1 \) and \( 2.7 \) to the terms inside the parentheses.

1. Distributing \( 9.1 \) to \( (x + 2) \):
\[
9.1(x + 2) = 9.1x + 9.1 \cdot 2 = 9.1x + 18.2
\]

2. Distributing \( 2.7 \) to \( (x - 3.6) \):
\[
2.7(x - 3.6) = 2.7x - 2.7 \cdot 3.6 = 2.7x - 9.72
\]

3. Now, we can combine the results:
\[
9.1x + 18.2 + 2.7x - 9.72
\]

4. Next, combine like terms:
- Combine the \( x \) terms:
\[
9.1x + 2.7x = 11.8x
\]

- Combine the constant terms:
\[
18.2 - 9.72 = 8.48
\]

5. Thus, the simplified expression is:
\[
11.8x + 8.48
\]

Final answer:
\[
\boxed{11.8x + 8.48}
\]