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Simplifying 13x + -9 + 7x = 11 + 6x + 6 Reorder the terms: -9 + 13x + 7x = 11 + 6x + 6 Combine like terms: 13x + 7x = 20x -9 + 20x = 11 + 6x + 6 Reorder the terms: -9 + 20x = 11 + 6 + 6x Combine like terms: 11 + 6 = 17 -9 + 20x = 17 + 6x Solving -9 + 20x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 20x + -6x = 17 + 6x + -6x Combine like terms: 20x + -6x = 14x -9 + 14x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 14x = 17 + 0 -9 + 14x = 17 Add '9' to each side of the equation. -9 + 9 + 14x = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 14x = 17 + 9 14x = 17 + 9 Combine like terms: 17 + 9 = 26 14x = 26 Divide each side by '14'. x = 1.857142857 Simplifying x = 1.857142857
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