Sure, let's simplify the given expression step-by-step and use number properties to explain each step. The expression is:
[tex]\[
-5 + (5 + 3)
\][/tex]
Step 1: Simplify inside the parentheses.
First, we need to resolve the parentheses by adding the numbers inside them. This is known as the Associative Property of Addition, which states that the way in which numbers are grouped does not change their sum.
Inside the parentheses:
[tex]\[
5 + 3 = 8
\][/tex]
So the expression simplifies to:
[tex]\[
-5 + 8
\][/tex]
Step 2: Simplify the remaining addition.
Now, we need to add [tex]\(-5\)[/tex] and [tex]\(8\)[/tex]. This step utilizes the Commutative Property of Addition, which states that the order in which numbers are added does not change their sum.
[tex]\[
-5 + 8 = 3
\][/tex]
By combining these steps, we find that the simplified result of the expression [tex]\(-5 + (5 + 3)\)[/tex] is:
[tex]\[
\boxed{3}
\][/tex]
Thus, the final answer is [tex]\(3\)[/tex].
