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