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Simplifying (3x + 6)(6x + -1) = (9x + -2)(2x + 1) Reorder the terms: (6 + 3x)(6x + -1) = (9x + -2)(2x + 1) Reorder the terms: (6 + 3x)(-1 + 6x) = (9x + -2)(2x + 1) Multiply (6 + 3x) * (-1 + 6x) (6(-1 + 6x) + 3x * (-1 + 6x)) = (9x + -2)(2x + 1) ((-1 * 6 + 6x * 6) + 3x * (-1 + 6x)) = (9x + -2)(2x + 1) ((-6 + 36x) + 3x * (-1 + 6x)) = (9x + -2)(2x + 1) (-6 + 36x + (-1 * 3x + 6x * 3x)) = (9x + -2)(2x + 1) (-6 + 36x + (-3x + 18x2)) = (9x + -2)(2x + 1) Combine like terms: 36x + -3x = 33x (-6 + 33x + 18x2) = (9x + -2)(2x + 1) Reorder the terms: -6 + 33x + 18x2 = (-2 + 9x)(2x + 1) Reorder the terms: -6 + 33x + 18x2 = (-2 + 9x)(1 + 2x) Multiply (-2 + 9x) * (1 + 2x) -6 + 33x + 18x2 = (-2(1 + 2x) + 9x * (1 + 2x)) -6 + 33x + 18x2 = ((1 * -2 + 2x * -2) + 9x * (1 + 2x)) -6 + 33x + 18x2 = ((-2 + -4x) + 9x * (1 + 2x)) -6 + 33x + 18x2 = (-2 + -4x + (1 * 9x + 2x * 9x)) -6 + 33x + 18x2 = (-2 + -4x + (9x + 18x2)) Combine like terms: -4x + 9x = 5x -6 + 33x + 18x2 = (-2 + 5x + 18x2) Add '-18x2' to each side of the equation. -6 + 33x + 18x2 + -18x2 = -2 + 5x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -6 + 33x + 0 = -2 + 5x + 18x2 + -18x2 -6 + 33x = -2 + 5x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -6 + 33x = -2 + 5x + 0 -6 + 33x = -2 + 5x Solving -6 + 33x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 33x + -5x = -2 + 5x + -5x Combine like terms: 33x + -5x = 28x -6 + 28x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 28x = -2 + 0 -6 + 28x = -2 Add '6' to each side of the equation. -6 + 6 + 28x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 28x = -2 + 6 28x = -2 + 6 Combine like terms: -2 + 6 = 4 28x = 4 Divide each side by '28'. x = 0.1428571429 Simplifying x = 0.1428571429
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