Let's simplify the expression step by step:

$4x + 6 - 5x + 2(x + 3 - 2)$

1. Start by simplifying inside the parentheses: $x + 3 - 2 = x + 1$ So, the expression becomes: $4x + 6 - 5x + 2(x + 1)$

2. Distribute the $2$ to both terms inside the parentheses: $4x + 6 - 5x + 2x + 2$

3. Combine like terms:

   • Combine $4x - 5x + 2x = x$
   • Combine $6 + 2 = 8$

Thus, the simplified expression is: $x + 8$

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How do you distribute when there are variables inside parentheses?
2. How do you combine like terms in more complex expressions?
3. What happens if there is a negative sign in front of the parentheses?
4. Can you simplify $3x + 4 - 2x + 5(2x - 1)$?
5. How would the process change if the expression had exponents?

Tip: Always simplify inside parentheses first before distributing any numbers.