To solve this equation, first distribute the 4 4/5 to the terms inside the parentheses:

4 4/5 6x + 4 4/5 0.7 - 3.16 = 8.84
Multiplying 4 4/5 with 6x:
4 6x + (4/5)6x
= 24x + (24/5)x
= (120/5)x + (24/5)x
= (144/5)x

Multiplying 4 4/5 with 0.7:
4 0.7 + (4/5)0.7
= 2.8 + (4/5)0.7
= 2.8 + (4/5)7/10
= 2.8 + 2.8/5
= 2.8 + 0.56
= 3.36

Plugging these values back into the equation, we get:
(144/5)x + 3.36 - 3.16 = 8.84
(144/5)x + 0.2 = 8.84
(144/5)x = 8.64
x = (8.64)/(144/5)
x = 0.6

Therefore, the solution to the equation is x = 0.6.