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