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How many integral solutions of x_1 + x_2 + x_3 + x_4 = 30 satisfy x_1 greaterthanorequalto 2, x_2 greaterthanorequalto 0, x_3 greaterthanorequalto -5, and

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How many integral solutions of x_1 + x_2 + x_3 + x_4 = 30 satisfy x_1 greaterthanorequalto 2, x_2 greaterthanorequalto 0, x_3 greaterthanorequalto -5, and x_4 greaterthanorequalto 8? (Use substitution to get greaterthanorequalto 0 for all variables.)

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