To solve for \( x \) in the equation \( 3x = 5 + 7x \), follow these steps:
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Subtract \( 7x \) from both sides: \[ 3x - 7x = 5 \]
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This simplifies to: \[ -4x = 5 \]
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Now, divide both sides by \(-4\): \[ x = \frac{5}{-4} \]
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This simplifies to: \[ x = -\frac{5}{4} \]
Thus, the solution is: \[ x = -\frac{5}{4} \]