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Simplifying X(x + -8) = (2x + 8)(x + 5) Reorder the terms: X(-8 + x) = (2x + 8)(x + 5) (-8 * X + x * X) = (2x + 8)(x + 5) (-8X + xX) = (2x + 8)(x + 5) Reorder the terms: -8X + xX = (8 + 2x)(x + 5) Reorder the terms: -8X + xX = (8 + 2x)(5 + x) Multiply (8 + 2x) * (5 + x) -8X + xX = (8(5 + x) + 2x * (5 + x)) -8X + xX = ((5 * 8 + x * 8) + 2x * (5 + x)) -8X + xX = ((40 + 8x) + 2x * (5 + x)) -8X + xX = (40 + 8x + (5 * 2x + x * 2x)) -8X + xX = (40 + 8x + (10x + 2x2)) Combine like terms: 8x + 10x = 18x -8X + xX = (40 + 18x + 2x2) Solving -8X + xX = 40 + 18x + 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: -40 + -8X + -18x + xX + -2x2 = 40 + 18x + 2x2 + -40 + -18x + -2x2 Reorder the terms: -40 + -8X + -18x + xX + -2x2 = 40 + -40 + 18x + -18x + 2x2 + -2x2 Combine like terms: 40 + -40 = 0 -40 + -8X + -18x + xX + -2x2 = 0 + 18x + -18x + 2x2 + -2x2 -40 + -8X + -18x + xX + -2x2 = 18x + -18x + 2x2 + -2x2 Combine like terms: 18x + -18x = 0 -40 + -8X + -18x + xX + -2x2 = 0 + 2x2 + -2x2 -40 + -8X + -18x + xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -40 + -8X + -18x + xX + -2x2 = 0 The solution to this equation could not be determined.
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