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Simplifying 3(2x + 2) = 2(9 + -3x) Reorder the terms: 3(2 + 2x) = 2(9 + -3x) (2 * 3 + 2x * 3) = 2(9 + -3x) (6 + 6x) = 2(9 + -3x) 6 + 6x = (9 * 2 + -3x * 2) 6 + 6x = (18 + -6x) Solving 6 + 6x = 18 + -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 = 18 + -6x + 6x Combine like terms: 6x + 6x = 12x 6 + 12x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 12x = 18 + 0 6 + 12x = 18 Add '-6' to each side of the equation. 6 + -6 + 12x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 18 + -6 12x = 18 + -6 Combine like terms: 18 + -6 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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