To find an expression which represents the sum of [tex]\( (10x + 10) \)[/tex] and [tex]\( (7x + 10) \)[/tex] in simplest terms, follow these steps:
1. Identify the given expressions:
[tex]\[
10x + 10 \quad \text{and} \quad 7x + 10
\][/tex]
2. Combine the like terms:
- Sum the coefficients of [tex]\(x\)[/tex]:
[tex]\[
10x + 7x = 17x
\][/tex]
- Sum the constant terms:
[tex]\[
10 + 10 = 20
\][/tex]
3. Write the expression in the simplest form by combining these sums:
[tex]\[
17x + 20
\][/tex]
Therefore, the simplest form of the given expressions, when summed, is:
[tex]\[
\boxed{17x + 20}
\][/tex]
