To solve the inequality \(3x = -2 < 13\), we will break it down into two parts since this expression sets \(3x\) equal to \(-2\) and states that \(-2\) is less than \(13\).
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Evaluate the equation: \[ 3x = -2 \] To solve for \(x\), divide both sides by \(3\): \[ x = \frac{-2}{3} \]
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Evaluate the inequality: \[ -2 < 13 \] This statement is always true.
So, the main solution you need is from the equation. The value of \(x\) is: \[ x = -\frac{2}{3} \]
The inequality part \(-2 < 13\) confirms that the condition holds true, but it does not affect the value of \(x\).
Thus, the final solution is: \[ x = -\frac{2}{3} \]