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Simplifying 3x + 27 = 3 + 8x + -6 Reorder the terms: 27 + 3x = 3 + 8x + -6 Reorder the terms: 27 + 3x = 3 + -6 + 8x Combine like terms: 3 + -6 = -3 27 + 3x = -3 + 8x Solving 27 + 3x = -3 + 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 + 3x + -8x = -3 + 8x + -8x Combine like terms: 3x + -8x = -5x 27 + -5x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -5x = -3 + 0 27 + -5x = -3 Add '-27' to each side of the equation. 27 + -27 + -5x = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = -3 + -27 -5x = -3 + -27 Combine like terms: -3 + -27 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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