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Simplifying 0.1x + -17.9 = 0.03x + 10.8 Reorder the terms: -17.9 + 0.1x = 0.03x + 10.8 Reorder the terms: -17.9 + 0.1x = 10.8 + 0.03x Solving -17.9 + 0.1x = 10.8 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -17.9 + 0.1x + -0.03x = 10.8 + 0.03x + -0.03x Combine like terms: 0.1x + -0.03x = 0.07x -17.9 + 0.07x = 10.8 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -17.9 + 0.07x = 10.8 + 0.00 -17.9 + 0.07x = 10.8 Add '17.9' to each side of the equation. -17.9 + 17.9 + 0.07x = 10.8 + 17.9 Combine like terms: -17.9 + 17.9 = 0.0 0.0 + 0.07x = 10.8 + 17.9 0.07x = 10.8 + 17.9 Combine like terms: 10.8 + 17.9 = 28.7 0.07x = 28.7 Divide each side by '0.07'. x = 410 Simplifying x = 410
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