Question

Find an expression which represents the sum of left parenthesis, 10, x, plus, 10, right parenthesis(10x+10) and left parenthesis, 7, x, plus, 10, right parenthesis(7x+10) in simplest terms.

Answer 1

To find the expression representing the sum of \( (10x + 10) \) and \( (7x + 10) \), we can simply add the two expressions together.

So we have:

\[
(10x + 10) + (7x + 10)
\]

Now we add the terms step-by-step:

1. Combine the \( x \) terms:

\[
10x + 7x = 17x
\]

2. Combine the constant terms:

\[
10 + 10 = 20
\]

Putting it all together, we get:

\[
17x + 20
\]

Thus, the expression representing the sum is:

\[
\boxed{17x + 20}
\]