To determine which of the given equations has the solution set {−3}, we need to solve each equation and check if it yields \( x = -3 \).
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Equation: \( 4x - 8 = 44 \) \[ 4x = 44 + 8 \ 4x = 52 \ x = \frac{52}{4} = 13 \] Solution is \( x = 13 \).
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Equation: \( 4x - 8 = -44 \) \[ 4x = -44 + 8 \ 4x = -36 \ x = \frac{-36}{4} = -9 \] Solution is \( x = -9 \).
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Equation: \( 4x + 8 = -44 \) \[ 4x = -44 - 8 \ 4x = -52 \ x = \frac{-52}{4} = -13 \] Solution is \( x = -13 \).
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Equation: \( 4x + 8 = 44 \) \[ 4x = 44 - 8 \ 4x = 36 \ x = \frac{36}{4} = 9 \] Solution is \( x = 9 \).
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Equation: \( 4x - 8 = -4 \) \[ 4x = -4 + 8 \ 4x = 4 \ x = \frac{4}{4} = 1 \] Solution is \( x = 1 \).
None of these equations yielded \( x = -3 \). I'll check the operations one more time. Please provide the list again if needed, as it may contain a typo or missing equation that would provide the right solution.