To solve the equation \(-2x + 902 = 1518\), follow these steps:
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Subtract 902 from both sides of the equation:
\[-2x + 902 - 902 = 1518 - 902\]
This simplifies to:
\[-2x = 616\]
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Next, divide both sides by -2:
\[x = \frac{616}{-2}\]
This gives:
\[x = -308\]
Therefore, the best estimate for \(x\) is \(-308\).