To determine which equation has a solution of \( x = -8 \), let's solve each of the given equations:
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Equation: \( x - 8 = 0 \)
- Solution: \( x = 8 \) (not -8)
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Equation: \( x - 4 = -12 \)
- Solution: \( x = -12 + 4 = -8 \) (this is correct)
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Equation: \( x + 3 = -11 \)
- Solution: \( x = -11 - 3 = -14 \) (not -8)
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Equation: \( x - 10 = 2 \)
- Solution: \( x = 2 + 10 = 12 \) (not -8)
The equation that has a solution of \( -8 \) is:
\( x - 4 = -12 \)