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Simplifying 21(2x + 8) = 27(x) Reorder the terms: 21(8 + 2x) = 27(x) (8 * 21 + 2x * 21) = 27(x) (168 + 42x) = 27(x) Solving 168 + 42x = 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 = 27x + -27x Combine like terms: 42x + -27x = 15x 168 + 15x = 27x + -27x Combine like terms: 27x + -27x = 0 168 + 15x = 0 Add '-168' to each side of the equation. 168 + -168 + 15x = 0 + -168 Combine like terms: 168 + -168 = 0 0 + 15x = 0 + -168 15x = 0 + -168 Combine like terms: 0 + -168 = -168 15x = -168 Divide each side by '15'. x = -11.2 Simplifying x = -11.2
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