To solve the equation \(-\frac{x}{42.9} = -3\), you can follow these steps:
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Multiply both sides by \(-1\) to eliminate the negative sign: \[ \frac{x}{42.9} = 3 \]
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Multiply both sides by \(42.9\) to isolate \(x\): \[ x = 3 \times 42.9 \]
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Calculate \(3 \times 42.9\): \[ x = 128.7 \]
Thus, \(x = 128.7\).
However, the final answers provided do not contain \(128.7\), so let's check the solution more closely.
It seems there's possibly a miscommunication in the given equation. If the equation was intended as \(-\frac{x}{42.9} = -3\):
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Eliminate the negatives: \[ \frac{x}{42.9} = 3 \]
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Multiply both sides by \(42.9\): \[ x = 3 \times 42.9 = 128.7 \]
The provided options evaluate as follows:
- \(−8.7\)
- \(−87\)
- \(8.7\)
- \(87\)
None of these match with \(128.7\). Given these results appear erroneous according to standard calculations, please verify the original equation or options available. The solution calculated is indeed \(x = 128.7\).