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Simplifying 3x + -27 = 2x + 12 Reorder the terms: -27 + 3x = 2x + 12 Reorder the terms: -27 + 3x = 12 + 2x Solving -27 + 3x = 12 + 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. -27 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x -27 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 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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