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Simplifying 2x + -27 = 3(2 + -3x) Reorder the terms: -27 + 2x = 3(2 + -3x) -27 + 2x = (2 * 3 + -3x * 3) -27 + 2x = (6 + -9x) Solving -27 + 2x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -27 + 2x + 9x = 6 + -9x + 9x Combine like terms: 2x + 9x = 11x -27 + 11x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -27 + 11x = 6 + 0 -27 + 11x = 6 Add '27' to each side of the equation. -27 + 27 + 11x = 6 + 27 Combine like terms: -27 + 27 = 0 0 + 11x = 6 + 27 11x = 6 + 27 Combine like terms: 6 + 27 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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