Jackson is treating his best friend to lunch for his birthday. They order two deluxe hamburgers and fries at $14.95 a plate and two large sodas at $3.49 each. Then as a birthday surprise, jackson orders two pieces of chocolate cake at $7.95 each. Jackson knows that tax is 8.21%. How much will jackson's bill be with tax?

The cost of the two deluxe hamburgers and fries is $14.95 x 2 = $<<14.95*2=29.90>>29.90.

The cost of the two large sodas is $3.49 x 2 = $<<3.49*2=6.98>>6.98.
The cost of the two pieces of chocolate cake is $7.95 x 2 = $<<7.95*2=15.90>>15.90.
The total cost of the food and drinks is $29.90 + $6.98 + $15.90 = $<<29.9+6.98+15.9=52.78>>52.78.
The tax on the bill is $52.78 x 8.21/100 = $<<52.78*8.21/100=4.33>>4.33.
So, the total bill including tax will be $52.78 + $4.33 = $<<52.78+4.33=57.11>>57.11. Answer: \boxed{57.11}.