To solve the equation \( 10 - 2(x + 3) = 3x + 2 \), follow these steps:
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Distribute the -2 on the left side: \[ 10 - 2x - 6 = 3x + 2 \]
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Simplify the left side: \[ 4 - 2x = 3x + 2 \]
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Add \( 2x \) to both sides: \[ 4 = 5x + 2 \]
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Subtract 2 from both sides: \[ 2 = 5x \]
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Divide by 5: \[ x = \frac{2}{5} \]
So the solution is: \[ x = \frac{2}{5} \]