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Simplifying 27x + 14 = 20x + 35 Reorder the terms: 14 + 27x = 20x + 35 Reorder the terms: 14 + 27x = 35 + 20x Solving 14 + 27x = 35 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 14 + 27x + -20x = 35 + 20x + -20x Combine like terms: 27x + -20x = 7x 14 + 7x = 35 + 20x + -20x Combine like terms: 20x + -20x = 0 14 + 7x = 35 + 0 14 + 7x = 35 Add '-14' to each side of the equation. 14 + -14 + 7x = 35 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 35 + -14 7x = 35 + -14 Combine like terms: 35 + -14 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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