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Look for the same variable(s) which have exactly the same exponent(s), group them together, factor out their common variable, then add their coefficients.

For example,

5x2y3 - 1 - 3x2 + 7y - 10x2y3 - 12xy + 9x2 + 4y + 2

= 5x2y3 - 10x2y3 - 3x2 + 9x2 + 7y + 4y - 12xy - 1 + 2

= (5 - 10)x2y3 + (-10 - 3)x2 + (7 + 4)y - 12xy + 1

= -5x2y3 - 13x2 + 11y - 12xy + 1

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