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Simplifying 0.6x + 0.666 + x = 0.5 + -0.2 Reorder the terms: 0.666 + 0.6x + x = 0.5 + -0.2 Combine like terms: 0.6x + x = 1.6x 0.666 + 1.6x = 0.5 + -0.2 Combine like terms: 0.5 + -0.2 = 0.3 0.666 + 1.6x = 0.3 Solving 0.666 + 1.6x = 0.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.666' to each side of the equation. 0.666 + -0.666 + 1.6x = 0.3 + -0.666 Combine like terms: 0.666 + -0.666 = 0.000 0.000 + 1.6x = 0.3 + -0.666 1.6x = 0.3 + -0.666 Combine like terms: 0.3 + -0.666 = -0.366 1.6x = -0.366 Divide each side by '1.6'. x = -0.22875 Simplifying x = -0.22875
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