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Simplifying 2[3(-1x2 + x) + -1] + -5x + 6x2 = 0 Reorder the terms: 2[3(x + -1x2) + -1] + -5x + 6x2 = 0 2[(x * 3 + -1x2 * 3) + -1] + -5x + 6x2 = 0 2[(3x + -3x2) + -1] + -5x + 6x2 = 0 Reorder the terms: 2[-1 + 3x + -3x2] + -5x + 6x2 = 0 [-1 * 2 + 3x * 2 + -3x2 * 2] + -5x + 6x2 = 0 [-2 + 6x + -6x2] + -5x + 6x2 = 0 Reorder the terms: -2 + 6x + -5x + -6x2 + 6x2 = 0 Combine like terms: 6x + -5x = 1x -2 + 1x + -6x2 + 6x2 = 0 Combine like terms: -6x2 + 6x2 = 0 -2 + 1x + 0 = 0 -2 + 1x = 0 Solving -2 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 0 + 2 1x = 0 + 2 Combine like terms: 0 + 2 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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