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Simplifying 5x + 27(x + -2) = 394 Reorder the terms: 5x + 27(-2 + x) = 394 5x + (-2 * 27 + x * 27) = 394 5x + (-54 + 27x) = 394 Reorder the terms: -54 + 5x + 27x = 394 Combine like terms: 5x + 27x = 32x -54 + 32x = 394 Solving -54 + 32x = 394 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 32x = 394 + 54 Combine like terms: -54 + 54 = 0 0 + 32x = 394 + 54 32x = 394 + 54 Combine like terms: 394 + 54 = 448 32x = 448 Divide each side by '32'. x = 14 Simplifying x = 14
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