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Two terms that will combine to make zero are additive inverses. For example, if you take the number 5 and its opposite, -5, their sum is 0 (5 + (-5) = 0). Similarly, any pair of numbers where one is the negative of the other will also combine to make zero.

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To simplify the expression ((1x^2 - 2x + 4) + (2x + 1) - (x^2 + 5)), first combine like terms. The (x^2) terms give (1x^2 - 1x^2 = 0). The (x) terms yield (-2x + 2x = 0), and the constant terms combine to (4 + 1 - 5 = 0). Thus, the simplified expression is (0).


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To simplify the expression ( 7w + 6 - 10w - 2 ), combine like terms. First, combine the ( w ) terms: ( 7w - 10w = -3w ). Next, combine the constant terms: ( 6 - 2 = 4 ). The simplified expression is ( -3w + 4 ).


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