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