0.2(0.7x - 5) + 0.02 = 1.4(x - 1.6)

0.14x - 1 + 0.02 = 1.4x - 2.24

0.14x - 0.98 + 0.02 = 1.4x - 2.24

0.14x - 0.96 = 1.4x - 2.24

0.14x - 1.4x = -2.24 + 0.96

-1.26x = -1.28

x = -1.28 / -1.26

x = 1.015873

Therefore, the solution for the equation is x = 1.015873.