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Simplifying 0.8x + 0.2 = x Reorder the terms: 0.2 + 0.8x = x Solving 0.2 + 0.8x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.2 + 0.8x + -1x = x + -1x Combine like terms: 0.8x + -1x = -0.2x 0.2 + -0.2x = x + -1x Combine like terms: x + -1x = 0 0.2 + -0.2x = 0 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.2x = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.2x = 0 + -0.2 -0.2x = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -0.2x = -0.2 Divide each side by '-0.2'. x = 1 Simplifying x = 1
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