What is the value of the expression: 5(3 + 4)?

To find the value of the expression 5(3 + 4), start by simplifying the expression inside the parentheses. First, add 3 and 4 together:

3 + 4 = 7.

Next, multiply this result by 5:

5 * 7 = 35.

Thus, the value of the expression 5(3 + 4) is 35. It's important to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), which instructs us to calculate the sum inside the parentheses first before applying the multiplication.