222x+4=1100 (5)

441x+14 (10) = 252 (7)

44 (x+5) - 44 (5) = 52 (10)

1.

2x^2 + 2x + 2 + 4 = 1*5^3 + 1*5^2 { x > 2 }

2x^2 + 2x + 6 - 150 = 0

x^2 + x - 72 = 0

(x + 9) (x - 8) = 0

x = 8

2.

4x^2 + 4x + 1 + 14 = 2*7^2 + 5*7 + 2 { x > 4 }

4x^2 + 4x + 15 - 135 = 0

x^2 + x - 30 = 0

(x + 6) (x - 5) = 9

x = 5

3.

4 (x+5) + 4 - 4*5 - 4 = 52 { x + 5 > 4 - > x > - 1}

4x + 24 - 24 = 52

x = 13