Let's solve the equation step by step:

3 + 0.6(x + 7) = 1.3 - 0.5(x - 3)

First, distribute the 0.6 and 0.5:

3 + 0.6x + 4.2 = 1.3 - 0.5x + 1.5

Combine like terms:

0.6x + 7.2 = -0.5x + 2.8

Now, move all the x terms to one side and the constant terms to the other side:

0.6x + 0.5x = 2.8 - 7.2
1.1x = -4.4

Finally, solve for x:

x = -4.4 / 1.1
x = -4

Therefore, the solution to the equation is x = -4.