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Simplifying 0.3x + -0.5 = 0.2x + 6 Reorder the terms: -0.5 + 0.3x = 0.2x + 6 Reorder the terms: -0.5 + 0.3x = 6 + 0.2x Solving -0.5 + 0.3x = 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. -0.5 + 0.3x + -0.2x = 6 + 0.2x + -0.2x Combine like terms: 0.3x + -0.2x = 0.1x -0.5 + 0.1x = 6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.5 + 0.1x = 6 + 0.0 -0.5 + 0.1x = 6 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.1x = 6 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.1x = 6 + 0.5 0.1x = 6 + 0.5 Combine like terms: 6 + 0.5 = 6.5 0.1x = 6.5 Divide each side by '0.1'. x = 65 Simplifying x = 65
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