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Simplifying 0.2x + -0.8 = 0.8x + 2.2 Reorder the terms: -0.8 + 0.2x = 0.8x + 2.2 Reorder the terms: -0.8 + 0.2x = 2.2 + 0.8x Solving -0.8 + 0.2x = 2.2 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -0.8 + 0.2x + -0.8x = 2.2 + 0.8x + -0.8x Combine like terms: 0.2x + -0.8x = -0.6x -0.8 + -0.6x = 2.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -0.8 + -0.6x = 2.2 + 0.0 -0.8 + -0.6x = 2.2 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.6x = 2.2 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.6x = 2.2 + 0.8 -0.6x = 2.2 + 0.8 Combine like terms: 2.2 + 0.8 = 3 -0.6x = 3 Divide each side by '-0.6'. x = -5 Simplifying x = -5
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