Let's solve each equation step by step to find the value of \( x \):
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Equation: \( x - 6 = -16 \) \[ x = -16 + 6 = -10 \]
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Equation: \( x + 19 = -5 \) \[ x = -5 - 19 = -24 \]
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Equation: \( x - 7 = 28 \) \[ x = 28 + 7 = 35 \]
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Equation: \( x + 25 = 2 \) \[ x = 2 - 25 = -23 \]
Now, we have the solutions:
- \( x = -10 \)
- \( x = -24 \)
- \( x = 35 \)
- \( x = -23 \)
The lowest value among the solutions is \( -24 \) from the equation \( x + 19 = -5 \).