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Simplifying 2x2 + -2x + x + -1 = 2x2 + -6x + 3x + -9 Reorder the terms: -1 + -2x + x + 2x2 = 2x2 + -6x + 3x + -9 Combine like terms: -2x + x = -1x -1 + -1x + 2x2 = 2x2 + -6x + 3x + -9 Reorder the terms: -1 + -1x + 2x2 = -9 + -6x + 3x + 2x2 Combine like terms: -6x + 3x = -3x -1 + -1x + 2x2 = -9 + -3x + 2x2 Add '-2x2' to each side of the equation. -1 + -1x + 2x2 + -2x2 = -9 + -3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1 + -1x + 0 = -9 + -3x + 2x2 + -2x2 -1 + -1x = -9 + -3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1 + -1x = -9 + -3x + 0 -1 + -1x = -9 + -3x Solving -1 + -1x = -9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1 + -1x + 3x = -9 + -3x + 3x Combine like terms: -1x + 3x = 2x -1 + 2x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 2x = -9 + 0 -1 + 2x = -9 Add '1' to each side of the equation. -1 + 1 + 2x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -9 + 1 2x = -9 + 1 Combine like terms: -9 + 1 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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