To solve the equation \(2x - 1 = 4x + 3\), we will isolate \(x\).
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Start by moving the terms involving \(x\) to one side of the equation and the constant terms to the other side: \[ 2x - 4x = 3 + 1 \]
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This simplifies to: \[ -2x = 4 \]
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Now, divide both sides by -2 to solve for \(x\): \[ x = \frac{4}{-2} = -2 \]
Thus, the solution to the equation \(2x - 1 = 4x + 3\) is: \[ x = -2 \]