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Simplifying 0.12X + 10 = 0.10X + 12 Reorder the terms: 10 + 0.12X = 0.10X + 12 Reorder the terms: 10 + 0.12X = 12 + 0.10X Solving 10 + 0.12X = 12 + 0.10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.10X' to each side of the equation. 10 + 0.12X + -0.10X = 12 + 0.10X + -0.10X Combine like terms: 0.12X + -0.10X = 0.02X 10 + 0.02X = 12 + 0.10X + -0.10X Combine like terms: 0.10X + -0.10X = 0.00 10 + 0.02X = 12 + 0.00 10 + 0.02X = 12 Add '-10' to each side of the equation. 10 + -10 + 0.02X = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 0.02X = 12 + -10 0.02X = 12 + -10 Combine like terms: 12 + -10 = 2 0.02X = 2 Divide each side by '0.02'. X = 100 Simplifying X = 100
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