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Simplifying 2x(6x + -1) = (3x + -2)(4x + 3) Reorder the terms: 2x(-1 + 6x) = (3x + -2)(4x + 3) (-1 * 2x + 6x * 2x) = (3x + -2)(4x + 3) (-2x + 12x2) = (3x + -2)(4x + 3) Reorder the terms: -2x + 12x2 = (-2 + 3x)(4x + 3) Reorder the terms: -2x + 12x2 = (-2 + 3x)(3 + 4x) Multiply (-2 + 3x) * (3 + 4x) -2x + 12x2 = (-2(3 + 4x) + 3x * (3 + 4x)) -2x + 12x2 = ((3 * -2 + 4x * -2) + 3x * (3 + 4x)) -2x + 12x2 = ((-6 + -8x) + 3x * (3 + 4x)) -2x + 12x2 = (-6 + -8x + (3 * 3x + 4x * 3x)) -2x + 12x2 = (-6 + -8x + (9x + 12x2)) Combine like terms: -8x + 9x = 1x -2x + 12x2 = (-6 + 1x + 12x2) Add '-12x2' to each side of the equation. -2x + 12x2 + -12x2 = -6 + 1x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -2x + 0 = -6 + 1x + 12x2 + -12x2 -2x = -6 + 1x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -2x = -6 + 1x + 0 -2x = -6 + 1x Solving -2x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2x + -1x = -6 + 1x + -1x Combine like terms: -2x + -1x = -3x -3x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 -3x = -6 + 0 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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