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Simplifying 5x + 29(x + -2) = 282 Reorder the terms: 5x + 29(-2 + x) = 282 5x + (-2 * 29 + x * 29) = 282 5x + (-58 + 29x) = 282 Reorder the terms: -58 + 5x + 29x = 282 Combine like terms: 5x + 29x = 34x -58 + 34x = 282 Solving -58 + 34x = 282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 34x = 282 + 58 Combine like terms: -58 + 58 = 0 0 + 34x = 282 + 58 34x = 282 + 58 Combine like terms: 282 + 58 = 340 34x = 340 Divide each side by '34'. x = 10 Simplifying x = 10
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