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Simplifying 5x(4x + -2) + -2x(2x + 5) = 4x(4x + 2) Reorder the terms: 5x(-2 + 4x) + -2x(2x + 5) = 4x(4x + 2) (-2 * 5x + 4x * 5x) + -2x(2x + 5) = 4x(4x + 2) (-10x + 20x2) + -2x(2x + 5) = 4x(4x + 2) Reorder the terms: -10x + 20x2 + -2x(5 + 2x) = 4x(4x + 2) -10x + 20x2 + (5 * -2x + 2x * -2x) = 4x(4x + 2) -10x + 20x2 + (-10x + -4x2) = 4x(4x + 2) Reorder the terms: -10x + -10x + 20x2 + -4x2 = 4x(4x + 2) Combine like terms: -10x + -10x = -20x -20x + 20x2 + -4x2 = 4x(4x + 2) Combine like terms: 20x2 + -4x2 = 16x2 -20x + 16x2 = 4x(4x + 2) Reorder the terms: -20x + 16x2 = 4x(2 + 4x) -20x + 16x2 = (2 * 4x + 4x * 4x) -20x + 16x2 = (8x + 16x2) Add '-16x2' to each side of the equation. -20x + 16x2 + -16x2 = 8x + 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -20x + 0 = 8x + 16x2 + -16x2 -20x = 8x + 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -20x = 8x + 0 -20x = 8x Solving -20x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20x + -8x = 8x + -8x Combine like terms: -20x + -8x = -28x -28x = 8x + -8x Combine like terms: 8x + -8x = 0 -28x = 0 Divide each side by '-28'. x = 0 Simplifying x = 0
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