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Simplifying x(3x + -3) + x(6x + -2) = (9x + 8)(x + -1) Reorder the terms: x(-3 + 3x) + x(6x + -2) = (9x + 8)(x + -1) (-3 * x + 3x * x) + x(6x + -2) = (9x + 8)(x + -1) (-3x + 3x2) + x(6x + -2) = (9x + 8)(x + -1) Reorder the terms: -3x + 3x2 + x(-2 + 6x) = (9x + 8)(x + -1) -3x + 3x2 + (-2 * x + 6x * x) = (9x + 8)(x + -1) -3x + 3x2 + (-2x + 6x2) = (9x + 8)(x + -1) Reorder the terms: -3x + -2x + 3x2 + 6x2 = (9x + 8)(x + -1) Combine like terms: -3x + -2x = -5x -5x + 3x2 + 6x2 = (9x + 8)(x + -1) Combine like terms: 3x2 + 6x2 = 9x2 -5x + 9x2 = (9x + 8)(x + -1) Reorder the terms: -5x + 9x2 = (8 + 9x)(x + -1) Reorder the terms: -5x + 9x2 = (8 + 9x)(-1 + x) Multiply (8 + 9x) * (-1 + x) -5x + 9x2 = (8(-1 + x) + 9x * (-1 + x)) -5x + 9x2 = ((-1 * 8 + x * 8) + 9x * (-1 + x)) -5x + 9x2 = ((-8 + 8x) + 9x * (-1 + x)) -5x + 9x2 = (-8 + 8x + (-1 * 9x + x * 9x)) -5x + 9x2 = (-8 + 8x + (-9x + 9x2)) Combine like terms: 8x + -9x = -1x -5x + 9x2 = (-8 + -1x + 9x2) Add '-9x2' to each side of the equation. -5x + 9x2 + -9x2 = -8 + -1x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -5x + 0 = -8 + -1x + 9x2 + -9x2 -5x = -8 + -1x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -5x = -8 + -1x + 0 -5x = -8 + -1x Solving -5x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5x + x = -8 + -1x + x Combine like terms: -5x + x = -4x -4x = -8 + -1x + x Combine like terms: -1x + x = 0 -4x = -8 + 0 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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