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Simplifying 27x + 21 = 20x + 42 Reorder the terms: 21 + 27x = 20x + 42 Reorder the terms: 21 + 27x = 42 + 20x Solving 21 + 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. 21 + 27x + -20x = 42 + 20x + -20x Combine like terms: 27x + -20x = 7x 21 + 7x = 42 + 20x + -20x Combine like terms: 20x + -20x = 0 21 + 7x = 42 + 0 21 + 7x = 42 Add '-21' to each side of the equation. 21 + -21 + 7x = 42 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 42 + -21 7x = 42 + -21 Combine like terms: 42 + -21 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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