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Simplifying 100 + X = 500 + 0.1X Solving 100 + X = 500 + 0.1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.1X' to each side of the equation. 100 + X + -0.1X = 500 + 0.1X + -0.1X Combine like terms: X + -0.1X = 0.9X 100 + 0.9X = 500 + 0.1X + -0.1X Combine like terms: 0.1X + -0.1X = 0.0 100 + 0.9X = 500 + 0.0 100 + 0.9X = 500 Add '-100' to each side of the equation. 100 + -100 + 0.9X = 500 + -100 Combine like terms: 100 + -100 = 0 0 + 0.9X = 500 + -100 0.9X = 500 + -100 Combine like terms: 500 + -100 = 400 0.9X = 400 Divide each side by '0.9'. X = 444.4444444 Simplifying X = 444.4444444
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