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Simplifying 0.5x + -8 = 0.2x + 7 Reorder the terms: -8 + 0.5x = 0.2x + 7 Reorder the terms: -8 + 0.5x = 7 + 0.2x Solving -8 + 0.5x = 7 + 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. -8 + 0.5x + -0.2x = 7 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x -8 + 0.3x = 7 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -8 + 0.3x = 7 + 0.0 -8 + 0.3x = 7 Add '8' to each side of the equation. -8 + 8 + 0.3x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 0.3x = 7 + 8 0.3x = 7 + 8 Combine like terms: 7 + 8 = 15 0.3x = 15 Divide each side by '0.3'. x = 50 Simplifying x = 50
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