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