Sure, let's break this down:
1. First, you need to realize that 8 is being multiplied with the sum of 7x and 7. So, we need to multiply both 7x and 7 by 8.
2. Starting with 7x, we multiply it by 8 (8 times 7x) which gives us 56x.
3. Next, multiply 7 by 8 (8 times 7), which gives us 56.
4. Our final answer is the sum of these two results (56x + 56).
So, 8 times the sum of 7x and 7 equals 56x + 56. This is the distributive property of multiplication over addition at work, which states that the product of a number and the sum of two or more numbers is equal to the sum of the products of the number and each addend. In this case, 8 (the number) is distributed over the sum of 7x and 7 (the two addends), resulting in (8 * 7x) + (8 * 7) =
Answer: 56x + 56.