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Simplifying 0.5x + 4.2 = 0.2 + -0.6 Reorder the terms: 4.2 + 0.5x = 0.2 + -0.6 Combine like terms: 0.2 + -0.6 = -0.4 4.2 + 0.5x = -0.4 Solving 4.2 + 0.5x = -0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.5x = -0.4 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.5x = -0.4 + -4.2 0.5x = -0.4 + -4.2 Combine like terms: -0.4 + -4.2 = -4.6 0.5x = -4.6 Divide each side by '0.5'. x = -9.2 Simplifying x = -9.2
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