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Simplifying 0.3x + -8 = 0.5x + 10 Reorder the terms: -8 + 0.3x = 0.5x + 10 Reorder the terms: -8 + 0.3x = 10 + 0.5x Solving -8 + 0.3x = 10 + 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. -8 + 0.3x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: 0.3x + -0.5x = -0.2x -8 + -0.2x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -8 + -0.2x = 10 + 0.0 -8 + -0.2x = 10 Add '8' to each side of the equation. -8 + 8 + -0.2x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -0.2x = 10 + 8 -0.2x = 10 + 8 Combine like terms: 10 + 8 = 18 -0.2x = 18 Divide each side by '-0.2'. x = -90 Simplifying x = -90
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