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Simplifying x = 100 + 0.2x + 0.3x Combine like terms: 0.2x + 0.3x = 0.5x x = 100 + 0.5x Solving x = 100 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. x + -0.5x = 100 + 0.5x + -0.5x Combine like terms: x + -0.5x = 0.5x 0.5x = 100 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.5x = 100 + 0.0 0.5x = 100 Divide each side by '0.5'. x = 200 Simplifying x = 200
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