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Simplifying (2x + -1)(x) = (x + 8)(2x + -4) Reorder the terms: (-1 + 2x)(x) = (x + 8)(2x + -4) Reorder the terms for easier multiplication: x(-1 + 2x) = (x + 8)(2x + -4) (-1 * x + 2x * x) = (x + 8)(2x + -4) (-1x + 2x2) = (x + 8)(2x + -4) Reorder the terms: -1x + 2x2 = (8 + x)(2x + -4) Reorder the terms: -1x + 2x2 = (8 + x)(-4 + 2x) Multiply (8 + x) * (-4 + 2x) -1x + 2x2 = (8(-4 + 2x) + x(-4 + 2x)) -1x + 2x2 = ((-4 * 8 + 2x * 8) + x(-4 + 2x)) -1x + 2x2 = ((-32 + 16x) + x(-4 + 2x)) -1x + 2x2 = (-32 + 16x + (-4 * x + 2x * x)) -1x + 2x2 = (-32 + 16x + (-4x + 2x2)) Combine like terms: 16x + -4x = 12x -1x + 2x2 = (-32 + 12x + 2x2) Add '-2x2' to each side of the equation. -1x + 2x2 + -2x2 = -32 + 12x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1x + 0 = -32 + 12x + 2x2 + -2x2 -1x = -32 + 12x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1x = -32 + 12x + 0 -1x = -32 + 12x Solving -1x = -32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1x + -12x = -32 + 12x + -12x Combine like terms: -1x + -12x = -13x -13x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 -13x = -32 + 0 -13x = -32 Divide each side by '-13'. x = 2.461538462 Simplifying x = 2.461538462
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