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Simplifying (x + 5)(x + 5 + 3) = (x + 5)(x + 5 + 3) + 240 Reorder the terms: (5 + x)(x + 5 + 3) = (x + 5)(x + 5 + 3) + 240 Reorder the terms: (5 + x)(5 + 3 + x) = (x + 5)(x + 5 + 3) + 240 Combine like terms: 5 + 3 = 8 (5 + x)(8 + x) = (x + 5)(x + 5 + 3) + 240 Multiply (5 + x) * (8 + x) (5(8 + x) + x(8 + x)) = (x + 5)(x + 5 + 3) + 240 ((8 * 5 + x * 5) + x(8 + x)) = (x + 5)(x + 5 + 3) + 240 ((40 + 5x) + x(8 + x)) = (x + 5)(x + 5 + 3) + 240 (40 + 5x + (8 * x + x * x)) = (x + 5)(x + 5 + 3) + 240 (40 + 5x + (8x + x2)) = (x + 5)(x + 5 + 3) + 240 Combine like terms: 5x + 8x = 13x (40 + 13x + x2) = (x + 5)(x + 5 + 3) + 240 Reorder the terms: 40 + 13x + x2 = (5 + x)(x + 5 + 3) + 240 Reorder the terms: 40 + 13x + x2 = (5 + x)(5 + 3 + x) + 240 Combine like terms: 5 + 3 = 8 40 + 13x + x2 = (5 + x)(8 + x) + 240 Multiply (5 + x) * (8 + x) 40 + 13x + x2 = (5(8 + x) + x(8 + x)) + 240 40 + 13x + x2 = ((8 * 5 + x * 5) + x(8 + x)) + 240 40 + 13x + x2 = ((40 + 5x) + x(8 + x)) + 240 40 + 13x + x2 = (40 + 5x + (8 * x + x * x)) + 240 40 + 13x + x2 = (40 + 5x + (8x + x2)) + 240 Combine like terms: 5x + 8x = 13x 40 + 13x + x2 = (40 + 13x + x2) + 240 Reorder the terms: 40 + 13x + x2 = 40 + 240 + 13x + x2 Combine like terms: 40 + 240 = 280 40 + 13x + x2 = 280 + 13x + x2 Add '-13x' to each side of the equation. 40 + 13x + -13x + x2 = 280 + 13x + -13x + x2 Combine like terms: 13x + -13x = 0 40 + 0 + x2 = 280 + 13x + -13x + x2 40 + x2 = 280 + 13x + -13x + x2 Combine like terms: 13x + -13x = 0 40 + x2 = 280 + 0 + x2 40 + x2 = 280 + x2 Add '-1x2' to each side of the equation. 40 + x2 + -1x2 = 280 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 40 + 0 = 280 + x2 + -1x2 40 = 280 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 40 = 280 + 0 40 = 280 Solving 40 = 280 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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