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Simplifying 0.5x + 190 = 0.4x + 200 Reorder the terms: 190 + 0.5x = 0.4x + 200 Reorder the terms: 190 + 0.5x = 200 + 0.4x Solving 190 + 0.5x = 200 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 190 + 0.5x + -0.4x = 200 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 190 + 0.1x = 200 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 190 + 0.1x = 200 + 0.0 190 + 0.1x = 200 Add '-190' to each side of the equation. 190 + -190 + 0.1x = 200 + -190 Combine like terms: 190 + -190 = 0 0 + 0.1x = 200 + -190 0.1x = 200 + -190 Combine like terms: 200 + -190 = 10 0.1x = 10 Divide each side by '0.1'. x = 100 Simplifying x = 100
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