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To solve the equation, we need to isolate the variable x. We can do that by adding 2x to both sides of the equation and by subtracting 30 from both sides:
-2x + 10 = -30
Adding 2x to both sides:
10 = 2x - 30
Adding 30 to both sides:
40 = 2x
Dividing both sides by 2:
20 = x
Therefore, 20 is the solution to the equation -2x + 10 = -30.