Answer :

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].