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Simplifying -0.2x + 4 = 0.8x + 2 Reorder the terms: 4 + -0.2x = 0.8x + 2 Reorder the terms: 4 + -0.2x = 2 + 0.8x Solving 4 + -0.2x = 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. 4 + -0.2x + -0.8x = 2 + 0.8x + -0.8x Combine like terms: -0.2x + -0.8x = -1x 4 + -1x = 2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 4 + -1x = 2 + 0.0 4 + -1x = 2 Add '-4' to each side of the equation. 4 + -4 + -1x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 2 + -4 -1x = 2 + -4 Combine like terms: 2 + -4 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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