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Simplifying -27 + -3x + 2x = 16 + 8x + 14 Combine like terms: -3x + 2x = -1x -27 + -1x = 16 + 8x + 14 Reorder the terms: -27 + -1x = 16 + 14 + 8x Combine like terms: 16 + 14 = 30 -27 + -1x = 30 + 8x Solving -27 + -1x = 30 + 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 + -1x + -8x = 30 + 8x + -8x Combine like terms: -1x + -8x = -9x -27 + -9x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + -9x = 30 + 0 -27 + -9x = 30 Add '27' to each side of the equation. -27 + 27 + -9x = 30 + 27 Combine like terms: -27 + 27 = 0 0 + -9x = 30 + 27 -9x = 30 + 27 Combine like terms: 30 + 27 = 57 -9x = 57 Divide each side by '-9'. x = -6.333333333 Simplifying x = -6.333333333
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