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Simplifying x = 0.9x + 0.2 + -0.2x Reorder the terms: x = 0.2 + 0.9x + -0.2x Combine like terms: 0.9x + -0.2x = 0.7x x = 0.2 + 0.7x Solving x = 0.2 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. x + -0.7x = 0.2 + 0.7x + -0.7x Combine like terms: x + -0.7x = 0.3x 0.3x = 0.2 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 0.3x = 0.2 + 0.0 0.3x = 0.2 Divide each side by '0.3'. x = 0.6666666667 Simplifying x = 0.6666666667
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