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Simplifying -14x + -7x + -27 = 5x + 21 Reorder the terms: -27 + -14x + -7x = 5x + 21 Combine like terms: -14x + -7x = -21x -27 + -21x = 5x + 21 Reorder the terms: -27 + -21x = 21 + 5x Solving -27 + -21x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + -21x + -5x = 21 + 5x + -5x Combine like terms: -21x + -5x = -26x -27 + -26x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + -26x = 21 + 0 -27 + -26x = 21 Add '27' to each side of the equation. -27 + 27 + -26x = 21 + 27 Combine like terms: -27 + 27 = 0 0 + -26x = 21 + 27 -26x = 21 + 27 Combine like terms: 21 + 27 = 48 -26x = 48 Divide each side by '-26'. x = -1.846153846 Simplifying x = -1.846153846
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