Angles \( X \) and \( Y \) are supplementary. If the measure of angle \( X \) increases by \( 3 \) degrees every minute and angle \( Y \) decreases by \( 2 \) degrees every minute, how many minutes will it take for angle \( X \) to be twice the measure of angle \( Y \)? Let's think step by step and output the final answer within \boxed{}.
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