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Simplifying 13x + 7x + -14 = 5x + 31 Reorder the terms: -14 + 13x + 7x = 5x + 31 Combine like terms: 13x + 7x = 20x -14 + 20x = 5x + 31 Reorder the terms: -14 + 20x = 31 + 5x Solving -14 + 20x = 31 + 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. -14 + 20x + -5x = 31 + 5x + -5x Combine like terms: 20x + -5x = 15x -14 + 15x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 15x = 31 + 0 -14 + 15x = 31 Add '14' to each side of the equation. -14 + 14 + 15x = 31 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 31 + 14 15x = 31 + 14 Combine like terms: 31 + 14 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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