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Simplifying 0.2x + (-1) = x + 0.8 0.2x + -1 = x + 0.8 Reorder the terms: -1 + 0.2x = x + 0.8 Reorder the terms: -1 + 0.2x = 0.8 + x Solving -1 + 0.2x = 0.8 + 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. -1 + 0.2x + -1x = 0.8 + x + -1x Combine like terms: 0.2x + -1x = -0.8x -1 + -0.8x = 0.8 + x + -1x Combine like terms: x + -1x = 0 -1 + -0.8x = 0.8 + 0 -1 + -0.8x = 0.8 Add '1' to each side of the equation. -1 + 1 + -0.8x = 0.8 + 1 Combine like terms: -1 + 1 = 0 0 + -0.8x = 0.8 + 1 -0.8x = 0.8 + 1 Combine like terms: 0.8 + 1 = 1.8 -0.8x = 1.8 Divide each side by '-0.8'. x = -2.25 Simplifying x = -2.25
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