Certainly! Let's simplify the given expression step-by-step:
Given expression:
[tex]\[
(7x^2 - 8x - 4) + (-2x^2 + 3x + 5) + (5x^2 - 10x - 8)
\][/tex]
### Step 1: Combine the like terms
1. Combine the [tex]\( x^2 \)[/tex] terms:
[tex]\[
7x^2 - 2x^2 + 5x^2 = 10x^2
\][/tex]
2. Combine the [tex]\( x \)[/tex] terms:
[tex]\[
-8x + 3x - 10x = -15x
\][/tex]
3. Combine the constant terms:
[tex]\[
-4 + 5 - 8 = -7
\][/tex]
### Step 2: Write the simplified expression
After combining all the like terms, we get:
[tex]\[
10x^2 - 15x - 7
\][/tex]
So, the simplified expression is:
[tex]\[
10x^2 - 15x - 7
\][/tex]
Among the given choices, the correct one is:
[tex]\[
\boxed{10 x^2 - 15 x - 7}
\][/tex]
