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To determine the solution set of 2x > -8, we divide both sides of the inequality by 2, resulting in x > -4.
To determine the solution set of -5x+7=12, we subtract 7 from both sides of the equation, resulting in -5x = 5. Dividing both sides of the equation by -5, we get x = -1.
So, the solution set of the combined equations is {x|x > -4, x = -1}.
The correct option is a. {x|x > -1}.