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Simplifying (99 + x)(1 + -1x) = 100 + -1x2 + -98x Multiply (99 + x) * (1 + -1x) (99(1 + -1x) + x(1 + -1x)) = 100 + -1x2 + -98x ((1 * 99 + -1x * 99) + x(1 + -1x)) = 100 + -1x2 + -98x ((99 + -99x) + x(1 + -1x)) = 100 + -1x2 + -98x (99 + -99x + (1 * x + -1x * x)) = 100 + -1x2 + -98x (99 + -99x + (1x + -1x2)) = 100 + -1x2 + -98x Combine like terms: -99x + 1x = -98x (99 + -98x + -1x2) = 100 + -1x2 + -98x Reorder the terms: 99 + -98x + -1x2 = 100 + -98x + -1x2 Add '98x' to each side of the equation. 99 + -98x + 98x + -1x2 = 100 + -98x + 98x + -1x2 Combine like terms: -98x + 98x = 0 99 + 0 + -1x2 = 100 + -98x + 98x + -1x2 99 + -1x2 = 100 + -98x + 98x + -1x2 Combine like terms: -98x + 98x = 0 99 + -1x2 = 100 + 0 + -1x2 99 + -1x2 = 100 + -1x2 Add 'x2' to each side of the equation. 99 + -1x2 + x2 = 100 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 99 + 0 = 100 + -1x2 + x2 99 = 100 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 99 = 100 + 0 99 = 100 Solving 99 = 100 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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