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Simplifying 0.1x + -0.3 = 0.2x + 0.2 Reorder the terms: -0.3 + 0.1x = 0.2x + 0.2 Reorder the terms: -0.3 + 0.1x = 0.2 + 0.2x Solving -0.3 + 0.1x = 0.2 + 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. -0.3 + 0.1x + -0.2x = 0.2 + 0.2x + -0.2x Combine like terms: 0.1x + -0.2x = -0.1x -0.3 + -0.1x = 0.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.3 + -0.1x = 0.2 + 0.0 -0.3 + -0.1x = 0.2 Add '0.3' to each side of the equation. -0.3 + 0.3 + -0.1x = 0.2 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -0.1x = 0.2 + 0.3 -0.1x = 0.2 + 0.3 Combine like terms: 0.2 + 0.3 = 0.5 -0.1x = 0.5 Divide each side by '-0.1'. x = -5 Simplifying x = -5
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