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Simplifying 21(2x + 8) = 27(27 + x) Reorder the terms: 21(8 + 2x) = 27(27 + x) (8 * 21 + 2x * 21) = 27(27 + x) (168 + 42x) = 27(27 + x) 168 + 42x = (27 * 27 + x * 27) 168 + 42x = (729 + 27x) Solving 168 + 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. 168 + 42x + -27x = 729 + 27x + -27x Combine like terms: 42x + -27x = 15x 168 + 15x = 729 + 27x + -27x Combine like terms: 27x + -27x = 0 168 + 15x = 729 + 0 168 + 15x = 729 Add '-168' to each side of the equation. 168 + -168 + 15x = 729 + -168 Combine like terms: 168 + -168 = 0 0 + 15x = 729 + -168 15x = 729 + -168 Combine like terms: 729 + -168 = 561 15x = 561 Divide each side by '15'. x = 37.4 Simplifying x = 37.4
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