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Simplifying 5x + 29(x + -4) = 394 Reorder the terms: 5x + 29(-4 + x) = 394 5x + (-4 * 29 + x * 29) = 394 5x + (-116 + 29x) = 394 Reorder the terms: -116 + 5x + 29x = 394 Combine like terms: 5x + 29x = 34x -116 + 34x = 394 Solving -116 + 34x = 394 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '116' to each side of the equation. -116 + 116 + 34x = 394 + 116 Combine like terms: -116 + 116 = 0 0 + 34x = 394 + 116 34x = 394 + 116 Combine like terms: 394 + 116 = 510 34x = 510 Divide each side by '34'. x = 15 Simplifying x = 15
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