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Simplifying 3(3x + -9) = 8x + 12 Reorder the terms: 3(-9 + 3x) = 8x + 12 (-9 * 3 + 3x * 3) = 8x + 12 (-27 + 9x) = 8x + 12 Reorder the terms: -27 + 9x = 12 + 8x Solving -27 + 9x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27 + 9x + -8x = 12 + 8x + -8x Combine like terms: 9x + -8x = 1x -27 + 1x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + 1x = 12 + 0 -27 + 1x = 12 Add '27' to each side of the equation. -27 + 27 + 1x = 12 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 12 + 27 1x = 12 + 27 Combine like terms: 12 + 27 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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