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Simplifying (4x + 5)(x + -2) = (2x + -1)(2x + 2) Reorder the terms: (5 + 4x)(x + -2) = (2x + -1)(2x + 2) Reorder the terms: (5 + 4x)(-2 + x) = (2x + -1)(2x + 2) Multiply (5 + 4x) * (-2 + x) (5(-2 + x) + 4x * (-2 + x)) = (2x + -1)(2x + 2) ((-2 * 5 + x * 5) + 4x * (-2 + x)) = (2x + -1)(2x + 2) ((-10 + 5x) + 4x * (-2 + x)) = (2x + -1)(2x + 2) (-10 + 5x + (-2 * 4x + x * 4x)) = (2x + -1)(2x + 2) (-10 + 5x + (-8x + 4x2)) = (2x + -1)(2x + 2) Combine like terms: 5x + -8x = -3x (-10 + -3x + 4x2) = (2x + -1)(2x + 2) Reorder the terms: -10 + -3x + 4x2 = (-1 + 2x)(2x + 2) Reorder the terms: -10 + -3x + 4x2 = (-1 + 2x)(2 + 2x) Multiply (-1 + 2x) * (2 + 2x) -10 + -3x + 4x2 = (-1(2 + 2x) + 2x * (2 + 2x)) -10 + -3x + 4x2 = ((2 * -1 + 2x * -1) + 2x * (2 + 2x)) -10 + -3x + 4x2 = ((-2 + -2x) + 2x * (2 + 2x)) -10 + -3x + 4x2 = (-2 + -2x + (2 * 2x + 2x * 2x)) -10 + -3x + 4x2 = (-2 + -2x + (4x + 4x2)) Combine like terms: -2x + 4x = 2x -10 + -3x + 4x2 = (-2 + 2x + 4x2) Add '-4x2' to each side of the equation. -10 + -3x + 4x2 + -4x2 = -2 + 2x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -10 + -3x + 0 = -2 + 2x + 4x2 + -4x2 -10 + -3x = -2 + 2x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -10 + -3x = -2 + 2x + 0 -10 + -3x = -2 + 2x Solving -10 + -3x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + -3x + -2x = -2 + 2x + -2x Combine like terms: -3x + -2x = -5x -10 + -5x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -5x = -2 + 0 -10 + -5x = -2 Add '10' to each side of the equation. -10 + 10 + -5x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = -2 + 10 -5x = -2 + 10 Combine like terms: -2 + 10 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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