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Simplifying 4x(x + -1) = (x + 1)(4x + 2) Reorder the terms: 4x(-1 + x) = (x + 1)(4x + 2) (-1 * 4x + x * 4x) = (x + 1)(4x + 2) (-4x + 4x2) = (x + 1)(4x + 2) Reorder the terms: -4x + 4x2 = (1 + x)(4x + 2) Reorder the terms: -4x + 4x2 = (1 + x)(2 + 4x) Multiply (1 + x) * (2 + 4x) -4x + 4x2 = (1(2 + 4x) + x(2 + 4x)) -4x + 4x2 = ((2 * 1 + 4x * 1) + x(2 + 4x)) -4x + 4x2 = ((2 + 4x) + x(2 + 4x)) -4x + 4x2 = (2 + 4x + (2 * x + 4x * x)) -4x + 4x2 = (2 + 4x + (2x + 4x2)) Combine like terms: 4x + 2x = 6x -4x + 4x2 = (2 + 6x + 4x2) Add '-4x2' to each side of the equation. -4x + 4x2 + -4x2 = 2 + 6x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x + 0 = 2 + 6x + 4x2 + -4x2 -4x = 2 + 6x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x = 2 + 6x + 0 -4x = 2 + 6x Solving -4x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4x + -6x = 2 + 6x + -6x Combine like terms: -4x + -6x = -10x -10x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -10x = 2 + 0 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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