To solve for \( x \) in the equation \( 2x - 4x - 3 = -27 \), we can follow these steps:
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Combine like terms on the left side of the equation: \[ 2x - 4x = -2x \] So the equation simplifies to: \[ -2x - 3 = -27 \]
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Next, add 3 to both sides of the equation to isolate the term with \( x \): \[ -2x - 3 + 3 = -27 + 3 \] This simplifies to: \[ -2x = -24 \]
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Finally, divide both sides by -2: \[ x = \frac{-24}{-2} \] Thus, we get: \[ x = 12 \]
So the solution is \( x = 12 \).