Let's start with solving the equation \(5x = 5\):
To solve for \(x\): \[ x = \frac{5}{5} = 1 \]
Now, we need to determine which of the provided multiple choice answers also results in \(x = 1\).
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For \(6x - 9 = 75\): \[ 6x = 75 + 9 \] \[ 6x = 84 \] \[ x = \frac{84}{6} = 14 \]
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For \(8x - 7 = -33\): \[ 8x = -33 + 7 \] \[ 8x = -26 \] \[ x = \frac{-26}{8} = -\frac{13}{4} = -3.25 \]
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For \(5x + 6 = 54\): \[ 5x = 54 - 6 \] \[ 5x = 48 \] \[ x = \frac{48}{5} = 9.6 \]
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For \(5x + 7 = 32\): \[ 5x = 32 - 7 \] \[ 5x = 25 \] \[ x = \frac{25}{5} = 5 \]
None of the answers give \(x = 1\).
Please double-check the multiple-choice options or clarify if there are specific details or another equation context provided.