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Simplifying 0.1x = 5000(x + -30) + -79800 Reorder the terms: 0.1x = 5000(-30 + x) + -79800 0.1x = (-30 * 5000 + x * 5000) + -79800 0.1x = (-150000 + 5000x) + -79800 Reorder the terms: 0.1x = -150000 + -79800 + 5000x Combine like terms: -150000 + -79800 = -229800 0.1x = -229800 + 5000x Solving 0.1x = -229800 + 5000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5000x' to each side of the equation. 0.1x + -5000x = -229800 + 5000x + -5000x Combine like terms: 0.1x + -5000x = -4999.9x -4999.9x = -229800 + 5000x + -5000x Combine like terms: 5000x + -5000x = 0 -4999.9x = -229800 + 0 -4999.9x = -229800 Divide each side by '-4999.9'. x = 45.96091922 Simplifying x = 45.96091922
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