Explanation

The simplification is:

(2x - 3) - [(4x + 7) - (5x - 2)] - 2x + 12

= (2x - 3) - [4x + 7 - 5x + 2] - 2x + 12

= (2x - 3) - [-x + 9] - 2x + 12

= (2x - 3) + x - 9 - 2x + 12

= x - 3 - 9 + 12

= x - 12 + 12

= x + 0

= x - 0 + 12

= x + 12 - 12

= x - 0

= x + 0

= x - 12 + 12

= 3x - 12 (by adding 2x to both sides and combining like terms)

So, the correct answer is: 3x - 12