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Simplifying 0.2x + -1 = 0.5x + 1 Reorder the terms: -1 + 0.2x = 0.5x + 1 Reorder the terms: -1 + 0.2x = 1 + 0.5x Solving -1 + 0.2x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -1 + 0.2x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x -1 + -0.3x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1 + -0.3x = 1 + 0.0 -1 + -0.3x = 1 Add '1' to each side of the equation. -1 + 1 + -0.3x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -0.3x = 1 + 1 -0.3x = 1 + 1 Combine like terms: 1 + 1 = 2 -0.3x = 2 Divide each side by '-0.3'. x = -6.666666667 Simplifying x = -6.666666667
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