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Simplifying 12x2 + -1(2x + -3)(6x + 1) = x Reorder the terms: 12x2 + -1(-3 + 2x)(6x + 1) = x Reorder the terms: 12x2 + -1(-3 + 2x)(1 + 6x) = x Multiply (-3 + 2x) * (1 + 6x) 12x2 + -1(-3(1 + 6x) + 2x * (1 + 6x)) = x 12x2 + -1((1 * -3 + 6x * -3) + 2x * (1 + 6x)) = x 12x2 + -1((-3 + -18x) + 2x * (1 + 6x)) = x 12x2 + -1(-3 + -18x + (1 * 2x + 6x * 2x)) = x 12x2 + -1(-3 + -18x + (2x + 12x2)) = x Combine like terms: -18x + 2x = -16x 12x2 + -1(-3 + -16x + 12x2) = x 12x2 + (-3 * -1 + -16x * -1 + 12x2 * -1) = x 12x2 + (3 + 16x + -12x2) = x Reorder the terms: 3 + 16x + 12x2 + -12x2 = x Combine like terms: 12x2 + -12x2 = 0 3 + 16x + 0 = x 3 + 16x = x Solving 3 + 16x = x 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. 3 + 16x + -1x = x + -1x Combine like terms: 16x + -1x = 15x 3 + 15x = x + -1x Combine like terms: x + -1x = 0 3 + 15x = 0 Add '-3' to each side of the equation. 3 + -3 + 15x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 15x = 0 + -3 15x = 0 + -3 Combine like terms: 0 + -3 = -3 15x = -3 Divide each side by '15'. x = -0.2 Simplifying x = -0.2
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