To solve the equation \(-43x + 2 = 10\), follow these steps:
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Subtract 2 from both sides to isolate the term with \(x\): \[ -43x + 2 - 2 = 10 - 2 \] This simplifies to: \[ -43x = 8 \]
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Divide both sides by -43 to solve for \(x\): \[ x = \frac{8}{-43} \] This simplifies to: \[ x = -\frac{8}{43} \]
So, the solution is: \[ x = -\frac{8}{43} \]