To solve the equation \( 2x - 1 = 4x + 3 \), we can follow these steps:
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Move all terms involving \( x \) to one side and constant terms to the other side. Subtract \( 2x \) from both sides:
\[ -1 = 4x - 2x + 3 \]
This simplifies to:
\[ -1 = 2x + 3 \]
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Now, subtract 3 from both sides:
\[ -1 - 3 = 2x \]
This simplifies to:
\[ -4 = 2x \]
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Finally, divide both sides by 2:
\[ x = -2 \]
Thus, the solution to the equation \( 2x - 1 = 4x + 3 \) is \( x = -2 \).