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Simplifying 21(2x + 8 + 21) = 27(x + 27) Reorder the terms: 21(8 + 21 + 2x) = 27(x + 27) Combine like terms: 8 + 21 = 29 21(29 + 2x) = 27(x + 27) (29 * 21 + 2x * 21) = 27(x + 27) (609 + 42x) = 27(x + 27) Reorder the terms: 609 + 42x = 27(27 + x) 609 + 42x = (27 * 27 + x * 27) 609 + 42x = (729 + 27x) Solving 609 + 42x = 729 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 609 + 42x + -27x = 729 + 27x + -27x Combine like terms: 42x + -27x = 15x 609 + 15x = 729 + 27x + -27x Combine like terms: 27x + -27x = 0 609 + 15x = 729 + 0 609 + 15x = 729 Add '-609' to each side of the equation. 609 + -609 + 15x = 729 + -609 Combine like terms: 609 + -609 = 0 0 + 15x = 729 + -609 15x = 729 + -609 Combine like terms: 729 + -609 = 120 15x = 120 Divide each side by '15'. x = 8 Simplifying x = 8
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