And this is the final iteration of the equation before I solve the system of equations:
0x6 + 0x5 + 0x4 + 0x3 + 2x2 + 7x + 0 = (3A + 3E + G)x6 + (-A + 3B + 2E + 3F + 2G)x5 + (35A - B + 3C + 37E + 2F + 21G)x4 + (-34A + 35B - 4C + 3D + 18E + 37F + 26G)x3 + (102A - 34B + 18C - 4D + 91E - 18F + 139G)x2 + (-168A + 102B - 24C + 18D - 196E + 91F + 84G)x - 168B - 24D - 196F + 294G
Now I do the whole coefficient system of equations thing.
....Wat¿