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