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Simplifying x2 + 3x + 9 = x2 + 2x + 4 Reorder the terms: 9 + 3x + x2 = x2 + 2x + 4 Reorder the terms: 9 + 3x + x2 = 4 + 2x + x2 Add '-1x2' to each side of the equation. 9 + 3x + x2 + -1x2 = 4 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 3x + 0 = 4 + 2x + x2 + -1x2 9 + 3x = 4 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 3x = 4 + 2x + 0 9 + 3x = 4 + 2x Solving 9 + 3x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 3x + -2x = 4 + 2x + -2x Combine like terms: 3x + -2x = 1x 9 + 1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 1x = 4 + 0 9 + 1x = 4 Add '-9' to each side of the equation. 9 + -9 + 1x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 4 + -9 1x = 4 + -9 Combine like terms: 4 + -9 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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