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Simplifying 0.6x + 9.2 = 20 + 0.5x Reorder the terms: 9.2 + 0.6x = 20 + 0.5x Solving 9.2 + 0.6x = 20 + 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. 9.2 + 0.6x + -0.5x = 20 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 9.2 + 0.1x = 20 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 9.2 + 0.1x = 20 + 0.0 9.2 + 0.1x = 20 Add '-9.2' to each side of the equation. 9.2 + -9.2 + 0.1x = 20 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + 0.1x = 20 + -9.2 0.1x = 20 + -9.2 Combine like terms: 20 + -9.2 = 10.8 0.1x = 10.8 Divide each side by '0.1'. x = 108 Simplifying x = 108
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