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Simplifying x2 + x = x2 + -3x + 6x + -18 Reorder the terms: x + x2 = x2 + -3x + 6x + -18 Reorder the terms: x + x2 = -18 + -3x + 6x + x2 Combine like terms: -3x + 6x = 3x x + x2 = -18 + 3x + x2 Add '-1x2' to each side of the equation. x + x2 + -1x2 = -18 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 x + 0 = -18 + 3x + x2 + -1x2 x = -18 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 x = -18 + 3x + 0 x = -18 + 3x Solving x = -18 + 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. x + -3x = -18 + 3x + -3x Combine like terms: x + -3x = -2x -2x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -2x = -18 + 0 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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