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Simplifying 2x2 + 3x + 1 = 2x2 + 9x + 9 + -14 Reorder the terms: 1 + 3x + 2x2 = 2x2 + 9x + 9 + -14 Reorder the terms: 1 + 3x + 2x2 = 9 + -14 + 9x + 2x2 Combine like terms: 9 + -14 = -5 1 + 3x + 2x2 = -5 + 9x + 2x2 Add '-2x2' to each side of the equation. 1 + 3x + 2x2 + -2x2 = -5 + 9x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1 + 3x + 0 = -5 + 9x + 2x2 + -2x2 1 + 3x = -5 + 9x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1 + 3x = -5 + 9x + 0 1 + 3x = -5 + 9x Solving 1 + 3x = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 3x + -9x = -5 + 9x + -9x Combine like terms: 3x + -9x = -6x 1 + -6x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -6x = -5 + 0 1 + -6x = -5 Add '-1' to each side of the equation. 1 + -1 + -6x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -5 + -1 -6x = -5 + -1 Combine like terms: -5 + -1 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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