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Simplifying x(2x + -3) + x(3x + -3) = (5x + 8)(x + -2) Reorder the terms: x(-3 + 2x) + x(3x + -3) = (5x + 8)(x + -2) (-3 * x + 2x * x) + x(3x + -3) = (5x + 8)(x + -2) (-3x + 2x2) + x(3x + -3) = (5x + 8)(x + -2) Reorder the terms: -3x + 2x2 + x(-3 + 3x) = (5x + 8)(x + -2) -3x + 2x2 + (-3 * x + 3x * x) = (5x + 8)(x + -2) -3x + 2x2 + (-3x + 3x2) = (5x + 8)(x + -2) Reorder the terms: -3x + -3x + 2x2 + 3x2 = (5x + 8)(x + -2) Combine like terms: -3x + -3x = -6x -6x + 2x2 + 3x2 = (5x + 8)(x + -2) Combine like terms: 2x2 + 3x2 = 5x2 -6x + 5x2 = (5x + 8)(x + -2) Reorder the terms: -6x + 5x2 = (8 + 5x)(x + -2) Reorder the terms: -6x + 5x2 = (8 + 5x)(-2 + x) Multiply (8 + 5x) * (-2 + x) -6x + 5x2 = (8(-2 + x) + 5x * (-2 + x)) -6x + 5x2 = ((-2 * 8 + x * 8) + 5x * (-2 + x)) -6x + 5x2 = ((-16 + 8x) + 5x * (-2 + x)) -6x + 5x2 = (-16 + 8x + (-2 * 5x + x * 5x)) -6x + 5x2 = (-16 + 8x + (-10x + 5x2)) Combine like terms: 8x + -10x = -2x -6x + 5x2 = (-16 + -2x + 5x2) Add '-5x2' to each side of the equation. -6x + 5x2 + -5x2 = -16 + -2x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -6x + 0 = -16 + -2x + 5x2 + -5x2 -6x = -16 + -2x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -6x = -16 + -2x + 0 -6x = -16 + -2x Solving -6x = -16 + -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. -6x + 2x = -16 + -2x + 2x Combine like terms: -6x + 2x = -4x -4x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 -4x = -16 + 0 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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