Alright, let's go through solving the given problem step by step.
1. The original expression is:
[tex]\[
7 \times (4 + 3)
\][/tex]
2. First, we need to evaluate the expression inside the parentheses:
[tex]\[
4 + 3 = 7
\][/tex]
3. Now, we multiply the result by 7:
[tex]\[
7 \times 7 = 49
\][/tex]
4. To ensure we understand the distributive property, let's break this multiplication down:
[tex]\[
7 \times (4 + 3) = 7 \times 4 + 7 \times 3
\][/tex]
5. Calculate [tex]\(7 \times 4\)[/tex]:
[tex]\[
7 \times 4 = 28
\][/tex]
6. Calculate [tex]\(7 \times 3\)[/tex]:
[tex]\[
7 \times 3 = 21
\][/tex]
7. Add these two results together:
[tex]\[
28 + 21 = 49
\][/tex]
Now let's rewrite the steps in the format you provided:
1.
[tex]\[
\begin{aligned}
7 \times (4 + 3) & = 7 \times 4 + 7 \times 3\\
& = 28 + 21\\
& = 49
\end{aligned}
\][/tex]
So, the final answer is [tex]\(49\)[/tex].