To solve the equation 2sin(x + 60°) = 1, we can start by isolating sin(x + 60°) by dividing both sides of the equation by 2:

sin(x + 60°) = 1/2

Next, we can use the inverse sine function (sin^(-1)) to find the angle whose sine is 1/2:

x + 60° = sin^(-1)(1/2)

Using a calculator, we find that sin^(-1)(1/2) = 30°.

Now, we can solve for x by subtracting 60° from both sides of the equation:

x = 30° - 60°

x = -30°

Therefore, the solution to the equation 2sin(x + 60°) = 1 is x = -30°.