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Simplifying 27x + 28 = 20x + 42 Reorder the terms: 28 + 27x = 20x + 42 Reorder the terms: 28 + 27x = 42 + 20x Solving 28 + 27x = 42 + 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. 28 + 27x + -20x = 42 + 20x + -20x Combine like terms: 27x + -20x = 7x 28 + 7x = 42 + 20x + -20x Combine like terms: 20x + -20x = 0 28 + 7x = 42 + 0 28 + 7x = 42 Add '-28' to each side of the equation. 28 + -28 + 7x = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 7x = 42 + -28 7x = 42 + -28 Combine like terms: 42 + -28 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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