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Simplifying (x + 8)(x + 6) = (x + 8) * x + (x + 8) * 6 Reorder the terms: (8 + x)(x + 6) = (x + 8) * x + (x + 8) * 6 Reorder the terms: (8 + x)(6 + x) = (x + 8) * x + (x + 8) * 6 Multiply (8 + x) * (6 + x) (8(6 + x) + x(6 + x)) = (x + 8) * x + (x + 8) * 6 ((6 * 8 + x * 8) + x(6 + x)) = (x + 8) * x + (x + 8) * 6 ((48 + 8x) + x(6 + x)) = (x + 8) * x + (x + 8) * 6 (48 + 8x + (6 * x + x * x)) = (x + 8) * x + (x + 8) * 6 (48 + 8x + (6x + x2)) = (x + 8) * x + (x + 8) * 6 Combine like terms: 8x + 6x = 14x (48 + 14x + x2) = (x + 8) * x + (x + 8) * 6 Reorder the terms: 48 + 14x + x2 = (8 + x) * x + (x + 8) * 6 Reorder the terms for easier multiplication: 48 + 14x + x2 = x(8 + x) + (x + 8) * 6 48 + 14x + x2 = (8 * x + x * x) + (x + 8) * 6 48 + 14x + x2 = (8x + x2) + (x + 8) * 6 Reorder the terms: 48 + 14x + x2 = 8x + x2 + (8 + x) * 6 Reorder the terms for easier multiplication: 48 + 14x + x2 = 8x + x2 + 6(8 + x) 48 + 14x + x2 = 8x + x2 + (8 * 6 + x * 6) 48 + 14x + x2 = 8x + x2 + (48 + 6x) Reorder the terms: 48 + 14x + x2 = 48 + 8x + 6x + x2 Combine like terms: 8x + 6x = 14x 48 + 14x + x2 = 48 + 14x + x2 Add '-48' to each side of the equation. 48 + 14x + -48 + x2 = 48 + 14x + -48 + x2 Reorder the terms: 48 + -48 + 14x + x2 = 48 + 14x + -48 + x2 Combine like terms: 48 + -48 = 0 0 + 14x + x2 = 48 + 14x + -48 + x2 14x + x2 = 48 + 14x + -48 + x2 Reorder the terms: 14x + x2 = 48 + -48 + 14x + x2 Combine like terms: 48 + -48 = 0 14x + x2 = 0 + 14x + x2 14x + x2 = 14x + x2 Add '-14x' to each side of the equation. 14x + -14x + x2 = 14x + -14x + x2 Combine like terms: 14x + -14x = 0 0 + x2 = 14x + -14x + x2 x2 = 14x + -14x + x2 Combine like terms: 14x + -14x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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