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Simplifying 12x2 + -1(4x + -3)(3x + 1) = -2 Reorder the terms: 12x2 + -1(-3 + 4x)(3x + 1) = -2 Reorder the terms: 12x2 + -1(-3 + 4x)(1 + 3x) = -2 Multiply (-3 + 4x) * (1 + 3x) 12x2 + -1(-3(1 + 3x) + 4x * (1 + 3x)) = -2 12x2 + -1((1 * -3 + 3x * -3) + 4x * (1 + 3x)) = -2 12x2 + -1((-3 + -9x) + 4x * (1 + 3x)) = -2 12x2 + -1(-3 + -9x + (1 * 4x + 3x * 4x)) = -2 12x2 + -1(-3 + -9x + (4x + 12x2)) = -2 Combine like terms: -9x + 4x = -5x 12x2 + -1(-3 + -5x + 12x2) = -2 12x2 + (-3 * -1 + -5x * -1 + 12x2 * -1) = -2 12x2 + (3 + 5x + -12x2) = -2 Reorder the terms: 3 + 5x + 12x2 + -12x2 = -2 Combine like terms: 12x2 + -12x2 = 0 3 + 5x + 0 = -2 3 + 5x = -2 Solving 3 + 5x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = -2 + -3 5x = -2 + -3 Combine like terms: -2 + -3 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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