Answer :
To simplify the expression [tex]\(22.4x + 43.2 - 26.1x - 39.1\)[/tex] by combining like terms, follow these steps:
1. Identify and Group Like Terms:
- The terms involving [tex]\(x\)[/tex] are [tex]\(22.4x\)[/tex] and [tex]\(-26.1x\)[/tex].
- The constant terms (numbers without [tex]\(x\)[/tex]) are [tex]\(43.2\)[/tex] and [tex]\(-39.1\)[/tex].
2. Combine the [tex]\(x\)[/tex] Terms:
- Combine [tex]\(22.4x\)[/tex] and [tex]\(-26.1x\)[/tex] by adding their coefficients:
[tex]\[
22.4 - 26.1 = -3.7
\][/tex]
- So, the combined [tex]\(x\)[/tex] terms are [tex]\(-3.7x\)[/tex].
3. Combine the Constant Terms:
- Combine [tex]\(43.2\)[/tex] and [tex]\(-39.1\)[/tex]:
[tex]\[
43.2 - 39.1 = 4.1
\][/tex]
4. Write the Simplified Expression:
- Combine the results from the steps above to form the simplified expression:
[tex]\[
-3.7x + 4.1
\][/tex]
So, the simplified expression is [tex]\(-3.7x + 4.1\)[/tex].
1. Identify and Group Like Terms:
- The terms involving [tex]\(x\)[/tex] are [tex]\(22.4x\)[/tex] and [tex]\(-26.1x\)[/tex].
- The constant terms (numbers without [tex]\(x\)[/tex]) are [tex]\(43.2\)[/tex] and [tex]\(-39.1\)[/tex].
2. Combine the [tex]\(x\)[/tex] Terms:
- Combine [tex]\(22.4x\)[/tex] and [tex]\(-26.1x\)[/tex] by adding their coefficients:
[tex]\[
22.4 - 26.1 = -3.7
\][/tex]
- So, the combined [tex]\(x\)[/tex] terms are [tex]\(-3.7x\)[/tex].
3. Combine the Constant Terms:
- Combine [tex]\(43.2\)[/tex] and [tex]\(-39.1\)[/tex]:
[tex]\[
43.2 - 39.1 = 4.1
\][/tex]
4. Write the Simplified Expression:
- Combine the results from the steps above to form the simplified expression:
[tex]\[
-3.7x + 4.1
\][/tex]
So, the simplified expression is [tex]\(-3.7x + 4.1\)[/tex].
