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Simplifying 0.2x + -0.5x = 0.1x + 7 Combine like terms: 0.2x + -0.5x = -0.3x -0.3x = 0.1x + 7 Reorder the terms: -0.3x = 7 + 0.1x Solving -0.3x = 7 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -0.3x + -0.1x = 7 + 0.1x + -0.1x Combine like terms: -0.3x + -0.1x = -0.4x -0.4x = 7 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -0.4x = 7 + 0.0 -0.4x = 7 Divide each side by '-0.4'. x = -17.5 Simplifying x = -17.5
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