What is the value of the following expression: -3 × 7 + 2 × 5?

To find the value of the expression (-3 \times 7 + 2 \times 5), we first perform the multiplication operations according to the order of operations, also known as PEMDAS/BODMAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Start with the first multiplication:

(-3 \times 7 = -21).

Next, handle the second multiplication:

(2 \times 5 = 10).

Now, we combine the results from these two calculations:

(-21 + 10).

To add these together, it’s helpful to visualize it on a number line or think about it in terms of positives and negatives. When you add (10) (a positive) to (-21) (a negative), you're moving ten units towards the right starting from (-21):

[-21 + 10 = -11].

Thus, the value of the expression (-3 \times 7 + 2 \times 5) simplifies to (-11). This is why the answer is accurate.