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Simplifying (2x + -1)(4x + 1) = (8x + -3)(x + -2) Reorder the terms: (-1 + 2x)(4x + 1) = (8x + -3)(x + -2) Reorder the terms: (-1 + 2x)(1 + 4x) = (8x + -3)(x + -2) Multiply (-1 + 2x) * (1 + 4x) (-1(1 + 4x) + 2x * (1 + 4x)) = (8x + -3)(x + -2) ((1 * -1 + 4x * -1) + 2x * (1 + 4x)) = (8x + -3)(x + -2) ((-1 + -4x) + 2x * (1 + 4x)) = (8x + -3)(x + -2) (-1 + -4x + (1 * 2x + 4x * 2x)) = (8x + -3)(x + -2) (-1 + -4x + (2x + 8x2)) = (8x + -3)(x + -2) Combine like terms: -4x + 2x = -2x (-1 + -2x + 8x2) = (8x + -3)(x + -2) Reorder the terms: -1 + -2x + 8x2 = (-3 + 8x)(x + -2) Reorder the terms: -1 + -2x + 8x2 = (-3 + 8x)(-2 + x) Multiply (-3 + 8x) * (-2 + x) -1 + -2x + 8x2 = (-3(-2 + x) + 8x * (-2 + x)) -1 + -2x + 8x2 = ((-2 * -3 + x * -3) + 8x * (-2 + x)) -1 + -2x + 8x2 = ((6 + -3x) + 8x * (-2 + x)) -1 + -2x + 8x2 = (6 + -3x + (-2 * 8x + x * 8x)) -1 + -2x + 8x2 = (6 + -3x + (-16x + 8x2)) Combine like terms: -3x + -16x = -19x -1 + -2x + 8x2 = (6 + -19x + 8x2) Add '-8x2' to each side of the equation. -1 + -2x + 8x2 + -8x2 = 6 + -19x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -1 + -2x + 0 = 6 + -19x + 8x2 + -8x2 -1 + -2x = 6 + -19x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -1 + -2x = 6 + -19x + 0 -1 + -2x = 6 + -19x Solving -1 + -2x = 6 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -1 + -2x + 19x = 6 + -19x + 19x Combine like terms: -2x + 19x = 17x -1 + 17x = 6 + -19x + 19x Combine like terms: -19x + 19x = 0 -1 + 17x = 6 + 0 -1 + 17x = 6 Add '1' to each side of the equation. -1 + 1 + 17x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 17x = 6 + 1 17x = 6 + 1 Combine like terms: 6 + 1 = 7 17x = 7 Divide each side by '17'. x = 0.4117647059 Simplifying x = 0.4117647059
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