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Simplifying 3x(4x + -1) = (3x + -4) * 4x + -5x + -4 Reorder the terms: 3x(-1 + 4x) = (3x + -4) * 4x + -5x + -4 (-1 * 3x + 4x * 3x) = (3x + -4) * 4x + -5x + -4 (-3x + 12x2) = (3x + -4) * 4x + -5x + -4 Reorder the terms: -3x + 12x2 = (-4 + 3x) * 4x + -5x + -4 Reorder the terms for easier multiplication: -3x + 12x2 = 4x(-4 + 3x) + -5x + -4 -3x + 12x2 = (-4 * 4x + 3x * 4x) + -5x + -4 -3x + 12x2 = (-16x + 12x2) + -5x + -4 Reorder the terms: -3x + 12x2 = -4 + -16x + -5x + 12x2 Combine like terms: -16x + -5x = -21x -3x + 12x2 = -4 + -21x + 12x2 Add '-12x2' to each side of the equation. -3x + 12x2 + -12x2 = -4 + -21x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -3x + 0 = -4 + -21x + 12x2 + -12x2 -3x = -4 + -21x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -3x = -4 + -21x + 0 -3x = -4 + -21x Solving -3x = -4 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -3x + 21x = -4 + -21x + 21x Combine like terms: -3x + 21x = 18x 18x = -4 + -21x + 21x Combine like terms: -21x + 21x = 0 18x = -4 + 0 18x = -4 Divide each side by '18'. x = -0.2222222222 Simplifying x = -0.2222222222
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