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Simplifying 2(3x + 6) = 12x + 9 Reorder the terms: 2(6 + 3x) = 12x + 9 (6 * 2 + 3x * 2) = 12x + 9 (12 + 6x) = 12x + 9 Reorder the terms: 12 + 6x = 9 + 12x Solving 12 + 6x = 9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 6x + -12x = 9 + 12x + -12x Combine like terms: 6x + -12x = -6x 12 + -6x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -6x = 9 + 0 12 + -6x = 9 Add '-12' to each side of the equation. 12 + -12 + -6x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 9 + -12 -6x = 9 + -12 Combine like terms: 9 + -12 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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