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Simplifying 3(3x + 2) + -3(2x + -3) = 12 Reorder the terms: 3(2 + 3x) + -3(2x + -3) = 12 (2 * 3 + 3x * 3) + -3(2x + -3) = 12 (6 + 9x) + -3(2x + -3) = 12 Reorder the terms: 6 + 9x + -3(-3 + 2x) = 12 6 + 9x + (-3 * -3 + 2x * -3) = 12 6 + 9x + (9 + -6x) = 12 Reorder the terms: 6 + 9 + 9x + -6x = 12 Combine like terms: 6 + 9 = 15 15 + 9x + -6x = 12 Combine like terms: 9x + -6x = 3x 15 + 3x = 12 Solving 15 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 12 + -15 3x = 12 + -15 Combine like terms: 12 + -15 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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