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Simplifying x(6x + -5) + x(3x + -4) = (9x + 2)(x + 1) Reorder the terms: x(-5 + 6x) + x(3x + -4) = (9x + 2)(x + 1) (-5 * x + 6x * x) + x(3x + -4) = (9x + 2)(x + 1) (-5x + 6x2) + x(3x + -4) = (9x + 2)(x + 1) Reorder the terms: -5x + 6x2 + x(-4 + 3x) = (9x + 2)(x + 1) -5x + 6x2 + (-4 * x + 3x * x) = (9x + 2)(x + 1) -5x + 6x2 + (-4x + 3x2) = (9x + 2)(x + 1) Reorder the terms: -5x + -4x + 6x2 + 3x2 = (9x + 2)(x + 1) Combine like terms: -5x + -4x = -9x -9x + 6x2 + 3x2 = (9x + 2)(x + 1) Combine like terms: 6x2 + 3x2 = 9x2 -9x + 9x2 = (9x + 2)(x + 1) Reorder the terms: -9x + 9x2 = (2 + 9x)(x + 1) Reorder the terms: -9x + 9x2 = (2 + 9x)(1 + x) Multiply (2 + 9x) * (1 + x) -9x + 9x2 = (2(1 + x) + 9x * (1 + x)) -9x + 9x2 = ((1 * 2 + x * 2) + 9x * (1 + x)) -9x + 9x2 = ((2 + 2x) + 9x * (1 + x)) -9x + 9x2 = (2 + 2x + (1 * 9x + x * 9x)) -9x + 9x2 = (2 + 2x + (9x + 9x2)) Combine like terms: 2x + 9x = 11x -9x + 9x2 = (2 + 11x + 9x2) Add '-9x2' to each side of the equation. -9x + 9x2 + -9x2 = 2 + 11x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -9x + 0 = 2 + 11x + 9x2 + -9x2 -9x = 2 + 11x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -9x = 2 + 11x + 0 -9x = 2 + 11x Solving -9x = 2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -9x + -11x = 2 + 11x + -11x Combine like terms: -9x + -11x = -20x -20x = 2 + 11x + -11x Combine like terms: 11x + -11x = 0 -20x = 2 + 0 -20x = 2 Divide each side by '-20'. x = -0.1 Simplifying x = -0.1
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