To balance this chemical equation, we need to make sure that the number of atoms of each element is equal on both sides of the equation. Here is the balanced equation:

3C + 2CO2 + H2 + 2SO3 + 2Al2(CO3)3 = 3CO2

This balanced equation shows that 3 moles of carbon (C) react with 2 moles of carbon dioxide (CO2), 1 mole of hydrogen (H2), 2 moles of sulfur trioxide (SO3), and 2 moles of aluminum carbonate (Al2(CO3)3) to produce 3 moles of carbon dioxide (CO2).