Of course! Let's simplify the expression [tex]\( 7(x + 4) \)[/tex]. Here's the step-by-step process:
1. Original Expression:
[tex]\[
7(x + 4)
\][/tex]
2. Application of the Distributive Property:
The distributive property states that [tex]\( a(b + c) = ab + ac \)[/tex]. Applying this property to our expression, we distribute the 7 across the terms inside the parentheses:
[tex]\[
7 \cdot x + 7 \cdot 4
\][/tex]
3. Perform the Multiplication:
Multiply each term by 7:
- [tex]\( 7 \cdot x = 7x \)[/tex]
- [tex]\( 7 \cdot 4 = 28 \)[/tex]
4. Combine the Results:
Bring together the products from the multiplication:
[tex]\[
7x + 28
\][/tex]
So, the simplified form of the expression [tex]\( 7(x + 4) \)[/tex] is:
[tex]\[
7x + 28
\][/tex]
