To solve the equation \(-310 \cdot x = 1\), you need to isolate \(x\).
Here's how you can do it:
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Divide both sides of the equation by \(-310\): \[ x = \frac{1}{-310} \]
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Simplifying this gives: \[ x = -\frac{1}{310} \]
Thus, the number that makes the statement true is \(-\frac{1}{310}\).