Let's solve each equation for \( X \):
-
Equation: \( X + 25 = 2 \)
Solution: \[ X = 2 - 25 = -23 \] -
Equation: \( X - 6 = -16 \)
Solution: \[ X = -16 + 6 = -10 \] -
Equation: \( X + 19 = -5 \)
Solution: \[ X = -5 - 19 = -24 \] -
Equation: \( X - 7 = 28 \)
Solution: \[ X = 28 + 7 = 35 \]
Now let's summarize the solutions:
- From the first equation, \( X = -23 \)
- From the second equation, \( X = -10 \)
- From the third equation, \( X = -24 \)
- From the fourth equation, \( X = 35 \)
Among the solutions \( -23, -10, -24, \) and \( 35 \), the solution with the lowest value is:
\[ \boxed{-24} \] (from the third equation: \( X + 19 = -5 \)).