To determine which equation has a solution of \( -8 \), we can solve each equation for \( x \) and see if any of them equal \( -8 \).
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Equation: \( x - 8 = 0 \)
- Solution: \( x = 8 \)
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Equation: \( x + 3 = -11 \)
- Solution: \( x = -11 - 3 = -14 \)
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Equation: \( x - 10 = 2 \)
- Solution: \( x = 2 + 10 = 12 \)
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Equation: \( x - 4 = -12 \)
- Solution: \( x = -12 + 4 = -8 \)
From the calculations, the equation \( x - 4 = -12 \) has a solution of \( -8 \).