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Simplifying x(x + 2) = (x + -1)(x + 4) Reorder the terms: x(2 + x) = (x + -1)(x + 4) (2 * x + x * x) = (x + -1)(x + 4) (2x + x2) = (x + -1)(x + 4) Reorder the terms: 2x + x2 = (-1 + x)(x + 4) Reorder the terms: 2x + x2 = (-1 + x)(4 + x) Multiply (-1 + x) * (4 + x) 2x + x2 = (-1(4 + x) + x(4 + x)) 2x + x2 = ((4 * -1 + x * -1) + x(4 + x)) 2x + x2 = ((-4 + -1x) + x(4 + x)) 2x + x2 = (-4 + -1x + (4 * x + x * x)) 2x + x2 = (-4 + -1x + (4x + x2)) Combine like terms: -1x + 4x = 3x 2x + x2 = (-4 + 3x + x2) Add '-1x2' to each side of the equation. 2x + x2 + -1x2 = -4 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x + 0 = -4 + 3x + x2 + -1x2 2x = -4 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x = -4 + 3x + 0 2x = -4 + 3x Solving 2x = -4 + 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. 2x + -3x = -4 + 3x + -3x Combine like terms: 2x + -3x = -1x -1x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -1x = -4 + 0 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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