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Simplifying x2 + 3x + x2 + 2x = 2(x2 + 5x + 6) Reorder the terms: 3x + 2x + x2 + x2 = 2(x2 + 5x + 6) Combine like terms: 3x + 2x = 5x 5x + x2 + x2 = 2(x2 + 5x + 6) Combine like terms: x2 + x2 = 2x2 5x + 2x2 = 2(x2 + 5x + 6) Reorder the terms: 5x + 2x2 = 2(6 + 5x + x2) 5x + 2x2 = (6 * 2 + 5x * 2 + x2 * 2) 5x + 2x2 = (12 + 10x + 2x2) Add '-2x2' to each side of the equation. 5x + 2x2 + -2x2 = 12 + 10x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 5x + 0 = 12 + 10x + 2x2 + -2x2 5x = 12 + 10x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 5x = 12 + 10x + 0 5x = 12 + 10x Solving 5x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5x + -10x = 12 + 10x + -10x Combine like terms: 5x + -10x = -5x -5x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -5x = 12 + 0 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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