Let's break it down step by step.

Given:
$x = 2$
and the expression:
$x \times 5 + 10 \times 5 \div 2$

Now, substitute $x = 2$ into the expression:

$2 \times 5 + 10 \times 5 \div 2$

First, solve the multiplication and division (following the order of operations: multiplication and division first, from left to right):

$2 \times 5 = 10$

Next:

$10 \times 5 = 50 \quad \text{and then} \quad 50 \div 2 = 25$

Now, add the results:

$10 + 25 = 35$

So, the final result is:

$35$

Would you like more details or have any questions about this process?

5 Related Questions:

1. What is the importance of following the order of operations in mathematics?
2. How do parentheses affect the order of operations in expressions like this?
3. Can you give an example of a similar expression with subtraction and division?
4. What happens if you switch the order of multiplication and addition in this expression?
5. How would the result change if $x$ was a different number?

Tip: Always remember to simplify expressions step by step, and follow the order of operations: parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).