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Simplifying 3x + 27(x + 9) = 351 + 3x Reorder the terms: 3x + 27(9 + x) = 351 + 3x 3x + (9 * 27 + x * 27) = 351 + 3x 3x + (243 + 27x) = 351 + 3x Reorder the terms: 243 + 3x + 27x = 351 + 3x Combine like terms: 3x + 27x = 30x 243 + 30x = 351 + 3x Solving 243 + 30x = 351 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 243 + 30x + -3x = 351 + 3x + -3x Combine like terms: 30x + -3x = 27x 243 + 27x = 351 + 3x + -3x Combine like terms: 3x + -3x = 0 243 + 27x = 351 + 0 243 + 27x = 351 Add '-243' to each side of the equation. 243 + -243 + 27x = 351 + -243 Combine like terms: 243 + -243 = 0 0 + 27x = 351 + -243 27x = 351 + -243 Combine like terms: 351 + -243 = 108 27x = 108 Divide each side by '27'. x = 4 Simplifying x = 4
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