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Simplifying 0.1x + -0.8 = 0.2x + 0.6 Reorder the terms: -0.8 + 0.1x = 0.2x + 0.6 Reorder the terms: -0.8 + 0.1x = 0.6 + 0.2x Solving -0.8 + 0.1x = 0.6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.8 + 0.1x + -0.2x = 0.6 + 0.2x + -0.2x Combine like terms: 0.1x + -0.2x = -0.1x -0.8 + -0.1x = 0.6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.8 + -0.1x = 0.6 + 0.0 -0.8 + -0.1x = 0.6 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.1x = 0.6 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.1x = 0.6 + 0.8 -0.1x = 0.6 + 0.8 Combine like terms: 0.6 + 0.8 = 1.4 -0.1x = 1.4 Divide each side by '-0.1'. x = -14 Simplifying x = -14
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