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Simplifying 4x(x + -1) + -8 = (1 + 2x)(2x + -1) + -6x Reorder the terms: 4x(-1 + x) + -8 = (1 + 2x)(2x + -1) + -6x (-1 * 4x + x * 4x) + -8 = (1 + 2x)(2x + -1) + -6x (-4x + 4x2) + -8 = (1 + 2x)(2x + -1) + -6x Reorder the terms: -8 + -4x + 4x2 = (1 + 2x)(2x + -1) + -6x Reorder the terms: -8 + -4x + 4x2 = (1 + 2x)(-1 + 2x) + -6x Multiply (1 + 2x) * (-1 + 2x) -8 + -4x + 4x2 = (1(-1 + 2x) + 2x * (-1 + 2x)) + -6x -8 + -4x + 4x2 = ((-1 * 1 + 2x * 1) + 2x * (-1 + 2x)) + -6x -8 + -4x + 4x2 = ((-1 + 2x) + 2x * (-1 + 2x)) + -6x -8 + -4x + 4x2 = (-1 + 2x + (-1 * 2x + 2x * 2x)) + -6x -8 + -4x + 4x2 = (-1 + 2x + (-2x + 4x2)) + -6x Combine like terms: 2x + -2x = 0 -8 + -4x + 4x2 = (-1 + 0 + 4x2) + -6x -8 + -4x + 4x2 = (-1 + 4x2) + -6x Reorder the terms: -8 + -4x + 4x2 = -1 + -6x + 4x2 Add '-4x2' to each side of the equation. -8 + -4x + 4x2 + -4x2 = -1 + -6x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8 + -4x + 0 = -1 + -6x + 4x2 + -4x2 -8 + -4x = -1 + -6x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8 + -4x = -1 + -6x + 0 -8 + -4x = -1 + -6x Solving -8 + -4x = -1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + -4x + 6x = -1 + -6x + 6x Combine like terms: -4x + 6x = 2x -8 + 2x = -1 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 2x = -1 + 0 -8 + 2x = -1 Add '8' to each side of the equation. -8 + 8 + 2x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -1 + 8 2x = -1 + 8 Combine like terms: -1 + 8 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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