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Simplifying x(4x + -4) = (4x + 5)(x + -1) Reorder the terms: x(-4 + 4x) = (4x + 5)(x + -1) (-4 * x + 4x * x) = (4x + 5)(x + -1) (-4x + 4x2) = (4x + 5)(x + -1) Reorder the terms: -4x + 4x2 = (5 + 4x)(x + -1) Reorder the terms: -4x + 4x2 = (5 + 4x)(-1 + x) Multiply (5 + 4x) * (-1 + x) -4x + 4x2 = (5(-1 + x) + 4x * (-1 + x)) -4x + 4x2 = ((-1 * 5 + x * 5) + 4x * (-1 + x)) -4x + 4x2 = ((-5 + 5x) + 4x * (-1 + x)) -4x + 4x2 = (-5 + 5x + (-1 * 4x + x * 4x)) -4x + 4x2 = (-5 + 5x + (-4x + 4x2)) Combine like terms: 5x + -4x = 1x -4x + 4x2 = (-5 + 1x + 4x2) Add '-4x2' to each side of the equation. -4x + 4x2 + -4x2 = -5 + 1x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x + 0 = -5 + 1x + 4x2 + -4x2 -4x = -5 + 1x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x = -5 + 1x + 0 -4x = -5 + 1x Solving -4x = -5 + 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 = -5 + 1x + -1x Combine like terms: -4x + -1x = -5x -5x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -5x = -5 + 0 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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