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Simplifying 0.2x + 2 = 0.8x + -0.4 Reorder the terms: 2 + 0.2x = 0.8x + -0.4 Reorder the terms: 2 + 0.2x = -0.4 + 0.8x Solving 2 + 0.2x = -0.4 + 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. 2 + 0.2x + -0.8x = -0.4 + 0.8x + -0.8x Combine like terms: 0.2x + -0.8x = -0.6x 2 + -0.6x = -0.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 2 + -0.6x = -0.4 + 0.0 2 + -0.6x = -0.4 Add '-2' to each side of the equation. 2 + -2 + -0.6x = -0.4 + -2 Combine like terms: 2 + -2 = 0 0 + -0.6x = -0.4 + -2 -0.6x = -0.4 + -2 Combine like terms: -0.4 + -2 = -2.4 -0.6x = -2.4 Divide each side by '-0.6'. x = 4 Simplifying x = 4
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