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Simplifying (27 + x) * 27 = (45) * 45 Reorder the terms for easier multiplication: 27(27 + x) = (45) * 45 (27 * 27 + x * 27) = (45) * 45 (729 + 27x) = (45) * 45 Multiply 45 * 45 729 + 27x = 2025 Solving 729 + 27x = 2025 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-729' to each side of the equation. 729 + -729 + 27x = 2025 + -729 Combine like terms: 729 + -729 = 0 0 + 27x = 2025 + -729 27x = 2025 + -729 Combine like terms: 2025 + -729 = 1296 27x = 1296 Divide each side by '27'. x = 48 Simplifying x = 48
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