To find which equation has the solution of the lowest value, we will solve each equation for \( x \).
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\( x - 6 = -16 \): \[ x = -16 + 6 = -10 \]
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\( x - 7 = 28 \): \[ x = 28 + 7 = 35 \]
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\( x + 19 = -5 \): \[ x = -5 - 19 = -24 \]
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\( x + 25 = 2 \): \[ x = 2 - 25 = -23 \]
Now let's list the solutions:
- From the first equation: \( x = -10 \)
- From the second equation: \( x = 35 \)
- From the third equation: \( x = -24 \)
- From the fourth equation: \( x = -23 \)
The lowest value among these solutions is \( -24 \) from the third equation \( x + 19 = -5 \).
Thus, the equation with the solution of the lowest value is:
\( x + 19 = -5 \).