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Simplifying 6x2 + -4x + 2 = 6x2 + -12x + x Reorder the terms: 2 + -4x + 6x2 = 6x2 + -12x + x Reorder the terms: 2 + -4x + 6x2 = -12x + x + 6x2 Combine like terms: -12x + x = -11x 2 + -4x + 6x2 = -11x + 6x2 Add '-6x2' to each side of the equation. 2 + -4x + 6x2 + -6x2 = -11x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2 + -4x + 0 = -11x + 6x2 + -6x2 2 + -4x = -11x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2 + -4x = -11x + 0 2 + -4x = -11x Solving 2 + -4x = -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 2 + -4x + 11x = -11x + 11x Combine like terms: -4x + 11x = 7x 2 + 7x = -11x + 11x Combine like terms: -11x + 11x = 0 2 + 7x = 0 Add '-2' to each side of the equation. 2 + -2 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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