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Simplifying x(6x + -3) + x(2x + -2) = (8x + 6)(x + -1) Reorder the terms: x(-3 + 6x) + x(2x + -2) = (8x + 6)(x + -1) (-3 * x + 6x * x) + x(2x + -2) = (8x + 6)(x + -1) (-3x + 6x2) + x(2x + -2) = (8x + 6)(x + -1) Reorder the terms: -3x + 6x2 + x(-2 + 2x) = (8x + 6)(x + -1) -3x + 6x2 + (-2 * x + 2x * x) = (8x + 6)(x + -1) -3x + 6x2 + (-2x + 2x2) = (8x + 6)(x + -1) Reorder the terms: -3x + -2x + 6x2 + 2x2 = (8x + 6)(x + -1) Combine like terms: -3x + -2x = -5x -5x + 6x2 + 2x2 = (8x + 6)(x + -1) Combine like terms: 6x2 + 2x2 = 8x2 -5x + 8x2 = (8x + 6)(x + -1) Reorder the terms: -5x + 8x2 = (6 + 8x)(x + -1) Reorder the terms: -5x + 8x2 = (6 + 8x)(-1 + x) Multiply (6 + 8x) * (-1 + x) -5x + 8x2 = (6(-1 + x) + 8x * (-1 + x)) -5x + 8x2 = ((-1 * 6 + x * 6) + 8x * (-1 + x)) -5x + 8x2 = ((-6 + 6x) + 8x * (-1 + x)) -5x + 8x2 = (-6 + 6x + (-1 * 8x + x * 8x)) -5x + 8x2 = (-6 + 6x + (-8x + 8x2)) Combine like terms: 6x + -8x = -2x -5x + 8x2 = (-6 + -2x + 8x2) Add '-8x2' to each side of the equation. -5x + 8x2 + -8x2 = -6 + -2x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -5x + 0 = -6 + -2x + 8x2 + -8x2 -5x = -6 + -2x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -5x = -6 + -2x + 0 -5x = -6 + -2x Solving -5x = -6 + -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. -5x + 2x = -6 + -2x + 2x Combine like terms: -5x + 2x = -3x -3x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -3x = -6 + 0 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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