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Simplifying 6(x2 + 2x) = 2(3x2 + 12) Reorder the terms: 6(2x + x2) = 2(3x2 + 12) (2x * 6 + x2 * 6) = 2(3x2 + 12) (12x + 6x2) = 2(3x2 + 12) Reorder the terms: 12x + 6x2 = 2(12 + 3x2) 12x + 6x2 = (12 * 2 + 3x2 * 2) 12x + 6x2 = (24 + 6x2) Add '-6x2' to each side of the equation. 12x + 6x2 + -6x2 = 24 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 12x + 0 = 24 + 6x2 + -6x2 12x = 24 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 12x = 24 + 0 12x = 24 Solving 12x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '12'. x = 2 Simplifying x = 2
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