To solve this expression, we follow the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right):

6.25 x 8 - 3.5 ÷ 5.5 + 2.4 x 4 + 7/12

First, we do the multiplication and division:

6.25 x 8 = 50
3.5 ÷ 5.5 = 0.6363636363636364 (approximately)

Now, the expression becomes:

50 - 0.6363636363636364 + 2.4 x 4 + 7/12

Next, we do the next multiplication:

2.4 x 4 = 9.6

Now, the expression becomes:

50 - 0.6363636363636364 + 9.6 + 7/12

Now, we add and subtract from left to right:

50 - 0.6363636363636364 = 49.363636363636364
49.363636363636364 + 9.6 = 58.963636363636364
58.963636363636364 + 7/12 = 58.963636363636364 + 0.5833333333333334 = 59.5469696969697

Therefore, the final answer is approximately 59.55.