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Simplifying 3x + 12 = 8x + 27 Reorder the terms: 12 + 3x = 8x + 27 Reorder the terms: 12 + 3x = 27 + 8x Solving 12 + 3x = 27 + 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. 12 + 3x + -8x = 27 + 8x + -8x Combine like terms: 3x + -8x = -5x 12 + -5x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -5x = 27 + 0 12 + -5x = 27 Add '-12' to each side of the equation. 12 + -12 + -5x = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 27 + -12 -5x = 27 + -12 Combine like terms: 27 + -12 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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