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Simplifying 10X + 29(X + -5) = 362 Reorder the terms: 10X + 29(-5 + X) = 362 10X + (-5 * 29 + X * 29) = 362 10X + (-145 + 29X) = 362 Reorder the terms: -145 + 10X + 29X = 362 Combine like terms: 10X + 29X = 39X -145 + 39X = 362 Solving -145 + 39X = 362 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '145' to each side of the equation. -145 + 145 + 39X = 362 + 145 Combine like terms: -145 + 145 = 0 0 + 39X = 362 + 145 39X = 362 + 145 Combine like terms: 362 + 145 = 507 39X = 507 Divide each side by '39'. X = 13 Simplifying X = 13
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