To determine which equation has a solution of \( x = -12 \), we can substitute \(-12\) for \(x\) in each equation and see which one holds true.
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Equation: \(x + 12 = -1\)
Substitution: \(-12 + 12 = -1\)
Result: \(0 \neq -1\) (not a solution) -
Equation: \(x + 1 = 12\)
Substitution: \(-12 + 1 = 12\)
Result: \(-11 \neq 12\) (not a solution) -
Equation: \(x - 1 = -12\)
Substitution: \(-12 - 1 = -12\)
Result: \(-13 \neq -12\) (not a solution) -
Equation: \(x - 12 = 1\)
Substitution: \(-12 - 12 = 1\)
Result: \(-24 \neq 1\) (not a solution)
None of the equations provided have a solution of \(x = -12\).
If you meant to include any other equations or if there's a mistake in the equations provided, please let me know!