Sure, let's simplify the given expression step-by-step:
[tex]\[ 5.3x - 8.14 + 3.6x + 9.8 \][/tex]
1. Combine the coefficients of [tex]\( x \)[/tex]:
We have two terms with [tex]\( x \)[/tex]:
[tex]\[
5.3x \quad \text{and} \quad 3.6x
\][/tex]
Adding these coefficients gives:
[tex]\[
5.3 + 3.6 = 8.9
\][/tex]
So, the expression involving [tex]\( x \)[/tex] becomes:
[tex]\[
8.9x
\][/tex]
2. Combine the constant terms:
We have two constant terms:
[tex]\[
-8.14 \quad \text{and} \quad 9.8
\][/tex]
Adding these constants gives:
[tex]\[
-8.14 + 9.8 = 1.66
\][/tex]
3. Write the simplified expression:
Combining both results, we get:
[tex]\[
8.9x + 1.66
\][/tex]
So, the correct answer is:
[tex]\[ \boxed{8.9x + 1.66} \][/tex]
Therefore, the correct option is:
[tex]\[ \text{D.} \quad 8.9x + 1.66 \][/tex]
