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Simplifying 0.5x + x = 0.8 + 0.6x Combine like terms: 0.5x + x = 1.5x 1.5x = 0.8 + 0.6x Solving 1.5x = 0.8 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 1.5x + -0.6x = 0.8 + 0.6x + -0.6x Combine like terms: 1.5x + -0.6x = 0.9x 0.9x = 0.8 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.9x = 0.8 + 0.0 0.9x = 0.8 Divide each side by '0.9'. x = 0.8888888889 Simplifying x = 0.8888888889
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