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Simplifying 12x * x + 38x + 20 = 12x * x + -1x + -6 Multiply x * x 12x2 + 38x + 20 = 12x * x + -1x + -6 Reorder the terms: 20 + 38x + 12x2 = 12x * x + -1x + -6 Multiply x * x 20 + 38x + 12x2 = 12x2 + -1x + -6 Reorder the terms: 20 + 38x + 12x2 = -6 + -1x + 12x2 Add '-12x2' to each side of the equation. 20 + 38x + 12x2 + -12x2 = -6 + -1x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 20 + 38x + 0 = -6 + -1x + 12x2 + -12x2 20 + 38x = -6 + -1x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 20 + 38x = -6 + -1x + 0 20 + 38x = -6 + -1x Solving 20 + 38x = -6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 20 + 38x + x = -6 + -1x + x Combine like terms: 38x + x = 39x 20 + 39x = -6 + -1x + x Combine like terms: -1x + x = 0 20 + 39x = -6 + 0 20 + 39x = -6 Add '-20' to each side of the equation. 20 + -20 + 39x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + 39x = -6 + -20 39x = -6 + -20 Combine like terms: -6 + -20 = -26 39x = -26 Divide each side by '39'. x = -0.6666666667 Simplifying x = -0.6666666667
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