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Simplifying x(2x + -5) + x(2x + -4) = (4x + 6)(x + -5) Reorder the terms: x(-5 + 2x) + x(2x + -4) = (4x + 6)(x + -5) (-5 * x + 2x * x) + x(2x + -4) = (4x + 6)(x + -5) (-5x + 2x2) + x(2x + -4) = (4x + 6)(x + -5) Reorder the terms: -5x + 2x2 + x(-4 + 2x) = (4x + 6)(x + -5) -5x + 2x2 + (-4 * x + 2x * x) = (4x + 6)(x + -5) -5x + 2x2 + (-4x + 2x2) = (4x + 6)(x + -5) Reorder the terms: -5x + -4x + 2x2 + 2x2 = (4x + 6)(x + -5) Combine like terms: -5x + -4x = -9x -9x + 2x2 + 2x2 = (4x + 6)(x + -5) Combine like terms: 2x2 + 2x2 = 4x2 -9x + 4x2 = (4x + 6)(x + -5) Reorder the terms: -9x + 4x2 = (6 + 4x)(x + -5) Reorder the terms: -9x + 4x2 = (6 + 4x)(-5 + x) Multiply (6 + 4x) * (-5 + x) -9x + 4x2 = (6(-5 + x) + 4x * (-5 + x)) -9x + 4x2 = ((-5 * 6 + x * 6) + 4x * (-5 + x)) -9x + 4x2 = ((-30 + 6x) + 4x * (-5 + x)) -9x + 4x2 = (-30 + 6x + (-5 * 4x + x * 4x)) -9x + 4x2 = (-30 + 6x + (-20x + 4x2)) Combine like terms: 6x + -20x = -14x -9x + 4x2 = (-30 + -14x + 4x2) Add '-4x2' to each side of the equation. -9x + 4x2 + -4x2 = -30 + -14x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9x + 0 = -30 + -14x + 4x2 + -4x2 -9x = -30 + -14x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9x = -30 + -14x + 0 -9x = -30 + -14x Solving -9x = -30 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -9x + 14x = -30 + -14x + 14x Combine like terms: -9x + 14x = 5x 5x = -30 + -14x + 14x Combine like terms: -14x + 14x = 0 5x = -30 + 0 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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