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Simplifying 0.5x = 100 + 0.1x Solving 0.5x = 100 + 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. 0.5x + -0.1x = 100 + 0.1x + -0.1x Combine like terms: 0.5x + -0.1x = 0.4x 0.4x = 100 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.4x = 100 + 0.0 0.4x = 100 Divide each side by '0.4'. x = 250 Simplifying x = 250
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