To evaluate the expression \(7 + 1(4 + 8)\), we need to follow the order of operations (PEMDAS/BODMAS). First, we solve the expression inside the parentheses, then perform the multiplication, and finally, the addition.
Step 1: Evaluate the Expression Inside the Parentheses
First, we calculate the expression inside the parentheses:
\[
4 + 8 = 12
\]
Step 2: Perform the Multiplication
Next, we multiply the result by \(1\):
\[
1 \times 12 = 12
\]
Step 3: Add to the Initial Value
Finally, we add this result to \(7\):
\[
7 + 12 = 19
\]