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Simplifying (2x + 3)(3x + -1) = (6x + 1)(x + -2) Reorder the terms: (3 + 2x)(3x + -1) = (6x + 1)(x + -2) Reorder the terms: (3 + 2x)(-1 + 3x) = (6x + 1)(x + -2) Multiply (3 + 2x) * (-1 + 3x) (3(-1 + 3x) + 2x * (-1 + 3x)) = (6x + 1)(x + -2) ((-1 * 3 + 3x * 3) + 2x * (-1 + 3x)) = (6x + 1)(x + -2) ((-3 + 9x) + 2x * (-1 + 3x)) = (6x + 1)(x + -2) (-3 + 9x + (-1 * 2x + 3x * 2x)) = (6x + 1)(x + -2) (-3 + 9x + (-2x + 6x2)) = (6x + 1)(x + -2) Combine like terms: 9x + -2x = 7x (-3 + 7x + 6x2) = (6x + 1)(x + -2) Reorder the terms: -3 + 7x + 6x2 = (1 + 6x)(x + -2) Reorder the terms: -3 + 7x + 6x2 = (1 + 6x)(-2 + x) Multiply (1 + 6x) * (-2 + x) -3 + 7x + 6x2 = (1(-2 + x) + 6x * (-2 + x)) -3 + 7x + 6x2 = ((-2 * 1 + x * 1) + 6x * (-2 + x)) -3 + 7x + 6x2 = ((-2 + 1x) + 6x * (-2 + x)) -3 + 7x + 6x2 = (-2 + 1x + (-2 * 6x + x * 6x)) -3 + 7x + 6x2 = (-2 + 1x + (-12x + 6x2)) Combine like terms: 1x + -12x = -11x -3 + 7x + 6x2 = (-2 + -11x + 6x2) Add '-6x2' to each side of the equation. -3 + 7x + 6x2 + -6x2 = -2 + -11x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -3 + 7x + 0 = -2 + -11x + 6x2 + -6x2 -3 + 7x = -2 + -11x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -3 + 7x = -2 + -11x + 0 -3 + 7x = -2 + -11x Solving -3 + 7x = -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. -3 + 7x + 11x = -2 + -11x + 11x Combine like terms: 7x + 11x = 18x -3 + 18x = -2 + -11x + 11x Combine like terms: -11x + 11x = 0 -3 + 18x = -2 + 0 -3 + 18x = -2 Add '3' to each side of the equation. -3 + 3 + 18x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 18x = -2 + 3 18x = -2 + 3 Combine like terms: -2 + 3 = 1 18x = 1 Divide each side by '18'. x = 0.05555555556 Simplifying x = 0.05555555556
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