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Simplifying x(5x + -5) = (5x + 5)(x + -4) Reorder the terms: x(-5 + 5x) = (5x + 5)(x + -4) (-5 * x + 5x * x) = (5x + 5)(x + -4) (-5x + 5x2) = (5x + 5)(x + -4) Reorder the terms: -5x + 5x2 = (5 + 5x)(x + -4) Reorder the terms: -5x + 5x2 = (5 + 5x)(-4 + x) Multiply (5 + 5x) * (-4 + x) -5x + 5x2 = (5(-4 + x) + 5x * (-4 + x)) -5x + 5x2 = ((-4 * 5 + x * 5) + 5x * (-4 + x)) -5x + 5x2 = ((-20 + 5x) + 5x * (-4 + x)) -5x + 5x2 = (-20 + 5x + (-4 * 5x + x * 5x)) -5x + 5x2 = (-20 + 5x + (-20x + 5x2)) Combine like terms: 5x + -20x = -15x -5x + 5x2 = (-20 + -15x + 5x2) Add '-5x2' to each side of the equation. -5x + 5x2 + -5x2 = -20 + -15x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -5x + 0 = -20 + -15x + 5x2 + -5x2 -5x = -20 + -15x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -5x = -20 + -15x + 0 -5x = -20 + -15x Solving -5x = -20 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -5x + 15x = -20 + -15x + 15x Combine like terms: -5x + 15x = 10x 10x = -20 + -15x + 15x Combine like terms: -15x + 15x = 0 10x = -20 + 0 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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