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Simplifying 5x + -14 = 27 + -13x Reorder the terms: -14 + 5x = 27 + -13x Solving -14 + 5x = 27 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -14 + 5x + 13x = 27 + -13x + 13x Combine like terms: 5x + 13x = 18x -14 + 18x = 27 + -13x + 13x Combine like terms: -13x + 13x = 0 -14 + 18x = 27 + 0 -14 + 18x = 27 Add '14' to each side of the equation. -14 + 14 + 18x = 27 + 14 Combine like terms: -14 + 14 = 0 0 + 18x = 27 + 14 18x = 27 + 14 Combine like terms: 27 + 14 = 41 18x = 41 Divide each side by '18'. x = 2.277777778 Simplifying x = 2.277777778
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