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Simplifying 3x(2x + 4) = 6(x2 + 1) Reorder the terms: 3x(4 + 2x) = 6(x2 + 1) (4 * 3x + 2x * 3x) = 6(x2 + 1) (12x + 6x2) = 6(x2 + 1) Reorder the terms: 12x + 6x2 = 6(1 + x2) 12x + 6x2 = (1 * 6 + x2 * 6) 12x + 6x2 = (6 + 6x2) Add '-6x2' to each side of the equation. 12x + 6x2 + -6x2 = 6 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 12x + 0 = 6 + 6x2 + -6x2 12x = 6 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 12x = 6 + 0 12x = 6 Solving 12x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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