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Simplifying 3(3x + 2) = -2(3x + 7) Reorder the terms: 3(2 + 3x) = -2(3x + 7) (2 * 3 + 3x * 3) = -2(3x + 7) (6 + 9x) = -2(3x + 7) Reorder the terms: 6 + 9x = -2(7 + 3x) 6 + 9x = (7 * -2 + 3x * -2) 6 + 9x = (-14 + -6x) Solving 6 + 9x = -14 + -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 = -14 + -6x + 6x Combine like terms: 9x + 6x = 15x 6 + 15x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 15x = -14 + 0 6 + 15x = -14 Add '-6' to each side of the equation. 6 + -6 + 15x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = -14 + -6 15x = -14 + -6 Combine like terms: -14 + -6 = -20 15x = -20 Divide each side by '15'. x = -1.333333333 Simplifying x = -1.333333333
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