Let's start with the equation \(4(x + 2) = 4x + 2\) and rewrite it step-by-step.
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Begin with the original equation: \[ 4(x + 2) = 4x + 2 \]
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Distribute the \(4\) on the left side: \[ 4x + 8 = 4x + 2 \]
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Now, subtract \(4x\) from each side to simplify: \[ 4x + 8 - 4x = 4x + 2 - 4x \]
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This simplifies to: \[ 8 = 2 \]
So the rewritten equation after subtracting \(4x\) from each side is \(8 = 2\), which indicates that there is no solution to the original equation—it's a contradiction.