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Simplifying 3(3x + -9) = 27 + -4x Reorder the terms: 3(-9 + 3x) = 27 + -4x (-9 * 3 + 3x * 3) = 27 + -4x (-27 + 9x) = 27 + -4x Solving -27 + 9x = 27 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -27 + 9x + 4x = 27 + -4x + 4x Combine like terms: 9x + 4x = 13x -27 + 13x = 27 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 13x = 27 + 0 -27 + 13x = 27 Add '27' to each side of the equation. -27 + 27 + 13x = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 13x = 27 + 27 13x = 27 + 27 Combine like terms: 27 + 27 = 54 13x = 54 Divide each side by '13'. x = 4.153846154 Simplifying x = 4.153846154
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