32^3 * 3 * 625^2 * 32^x * 3^3x * 625^x = 600^x * 600^7

2^15 * 3 * 5^8 * 2^5x * 3^3x * 5^4x = (2^3 * 3 * 5^2)^x * (2^3 * 3 * 5^2)^7

2^15 * 3 * 5^8 * 2^5x * 3^3x * 5^4x = 2^3x * 3^x * 5^2x * 2^21 * 3^7 * 5^14

2^(5x-3x) * 3^(3x-x) * 5^(4x-2x) =2^(21-15) * 3^(7-3) * 5^(14-8)

2^2x * 3^2x * 5^2x =2^6 * 3^6 * 5^6

30^2x = 30^6

2x=6

x=3