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Simplifying 10x + 29(x + -2) = 410 Reorder the terms: 10x + 29(-2 + x) = 410 10x + (-2 * 29 + x * 29) = 410 10x + (-58 + 29x) = 410 Reorder the terms: -58 + 10x + 29x = 410 Combine like terms: 10x + 29x = 39x -58 + 39x = 410 Solving -58 + 39x = 410 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 + 39x = 410 + 58 Combine like terms: -58 + 58 = 0 0 + 39x = 410 + 58 39x = 410 + 58 Combine like terms: 410 + 58 = 468 39x = 468 Divide each side by '39'. x = 12 Simplifying x = 12
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