a) 7 + (-x) = (-5) - (-14)
Simplifying the right side:
7 + (-x) = (-5) + 14
7 - x = 9
Subtracting 7 from both sides:
-x = 2
Multiplying both sides by -1 to solve for x:
x = -2

b) 484 + x = -632 + (-548)
Simplifying the right side:
484 + x = -632 - 548
484 + x = -1180
Subtracting 484 from both sides:
x = -1664

c) (2x - 4)(3 - x) = 0
Setting each factor equal to zero:
2x - 4 = 0 or 3 - x = 0
Solving for x in each equation:
2x = 4 or x = 3
x = 2 or x = 3

d) 2x - 14 - 14 = -8
Combining like terms:
2x - 28 = -8
Adding 28 to both sides:
2x = 20
Dividing both sides by 2:
x = 10

e) (2x - 4) - (x + 12) = -8
Expanding the parentheses:
2x - 4 - x - 12 = -8
Combining like terms:
x - 16 = -8
Adding 16 to both sides:
x = 8