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Simplifying 10x + 20(8 + x) = 590 10x + (8 * 20 + x * 20) = 590 10x + (160 + 20x) = 590 Reorder the terms: 160 + 10x + 20x = 590 Combine like terms: 10x + 20x = 30x 160 + 30x = 590 Solving 160 + 30x = 590 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + 30x = 590 + -160 Combine like terms: 160 + -160 = 0 0 + 30x = 590 + -160 30x = 590 + -160 Combine like terms: 590 + -160 = 430 30x = 430 Divide each side by '30'. x = 14.33333333 Simplifying x = 14.33333333
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