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Simplifying 6x(2x + 6) = 12x2 + 18 Reorder the terms: 6x(6 + 2x) = 12x2 + 18 (6 * 6x + 2x * 6x) = 12x2 + 18 (36x + 12x2) = 12x2 + 18 Reorder the terms: 36x + 12x2 = 18 + 12x2 Add '-12x2' to each side of the equation. 36x + 12x2 + -12x2 = 18 + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 36x + 0 = 18 + 12x2 + -12x2 36x = 18 + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 36x = 18 + 0 36x = 18 Solving 36x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '36'. x = 0.5 Simplifying x = 0.5
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