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Simplifying (4x + -1)(2x + -5) = (8x + 1)(x + -1) Reorder the terms: (-1 + 4x)(2x + -5) = (8x + 1)(x + -1) Reorder the terms: (-1 + 4x)(-5 + 2x) = (8x + 1)(x + -1) Multiply (-1 + 4x) * (-5 + 2x) (-1(-5 + 2x) + 4x * (-5 + 2x)) = (8x + 1)(x + -1) ((-5 * -1 + 2x * -1) + 4x * (-5 + 2x)) = (8x + 1)(x + -1) ((5 + -2x) + 4x * (-5 + 2x)) = (8x + 1)(x + -1) (5 + -2x + (-5 * 4x + 2x * 4x)) = (8x + 1)(x + -1) (5 + -2x + (-20x + 8x2)) = (8x + 1)(x + -1) Combine like terms: -2x + -20x = -22x (5 + -22x + 8x2) = (8x + 1)(x + -1) Reorder the terms: 5 + -22x + 8x2 = (1 + 8x)(x + -1) Reorder the terms: 5 + -22x + 8x2 = (1 + 8x)(-1 + x) Multiply (1 + 8x) * (-1 + x) 5 + -22x + 8x2 = (1(-1 + x) + 8x * (-1 + x)) 5 + -22x + 8x2 = ((-1 * 1 + x * 1) + 8x * (-1 + x)) 5 + -22x + 8x2 = ((-1 + 1x) + 8x * (-1 + x)) 5 + -22x + 8x2 = (-1 + 1x + (-1 * 8x + x * 8x)) 5 + -22x + 8x2 = (-1 + 1x + (-8x + 8x2)) Combine like terms: 1x + -8x = -7x 5 + -22x + 8x2 = (-1 + -7x + 8x2) Add '-8x2' to each side of the equation. 5 + -22x + 8x2 + -8x2 = -1 + -7x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 5 + -22x + 0 = -1 + -7x + 8x2 + -8x2 5 + -22x = -1 + -7x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 5 + -22x = -1 + -7x + 0 5 + -22x = -1 + -7x Solving 5 + -22x = -1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + -22x + 7x = -1 + -7x + 7x Combine like terms: -22x + 7x = -15x 5 + -15x = -1 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + -15x = -1 + 0 5 + -15x = -1 Add '-5' to each side of the equation. 5 + -5 + -15x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -15x = -1 + -5 -15x = -1 + -5 Combine like terms: -1 + -5 = -6 -15x = -6 Divide each side by '-15'. x = 0.4 Simplifying x = 0.4
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