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Let's assume that Sam bought x packages. Since each package has 9 beads, the total number of beads before his mom bought him more is 9x.
After his mom bought him 63 more beads, the total number of beads becomes 9x + 63.
And we know that he now has 153 beads, so we can set up the equation: 9x + 63 = 153.
Subtracting 63 from both sides of the equation, we get 9x = 90.
Dividing both sides by 9, we get x = 10.
Therefore, Sam bought 10 packages.