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Simplifying 3(2 + -3x) = 2x + 27 (2 * 3 + -3x * 3) = 2x + 27 (6 + -9x) = 2x + 27 Reorder the terms: 6 + -9x = 27 + 2x Solving 6 + -9x = 27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -9x + -2x = 27 + 2x + -2x Combine like terms: -9x + -2x = -11x 6 + -11x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -11x = 27 + 0 6 + -11x = 27 Add '-6' to each side of the equation. 6 + -6 + -11x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = 27 + -6 -11x = 27 + -6 Combine like terms: 27 + -6 = 21 -11x = 21 Divide each side by '-11'. x = -1.909090909 Simplifying x = -1.909090909
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