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Simplifying 12x + -27 = 8x + 21 Reorder the terms: -27 + 12x = 8x + 21 Reorder the terms: -27 + 12x = 21 + 8x Solving -27 + 12x = 21 + 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 + 12x + -8x = 21 + 8x + -8x Combine like terms: 12x + -8x = 4x -27 + 4x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + 4x = 21 + 0 -27 + 4x = 21 Add '27' to each side of the equation. -27 + 27 + 4x = 21 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 21 + 27 4x = 21 + 27 Combine like terms: 21 + 27 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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