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Simplifying 3x + -5 = 0.5x + 2x Reorder the terms: -5 + 3x = 0.5x + 2x Combine like terms: 0.5x + 2x = 2.5x -5 + 3x = 2.5x Solving -5 + 3x = 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -5 + 3x + -2.5x = 2.5x + -2.5x Combine like terms: 3x + -2.5x = 0.5x -5 + 0.5x = 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -5 + 0.5x = 0.0 Add '5' to each side of the equation. -5 + 5 + 0.5x = 0.0 + 5 Combine like terms: -5 + 5 = 0 0 + 0.5x = 0.0 + 5 0.5x = 0.0 + 5 Combine like terms: 0.0 + 5 = 5 0.5x = 5 Divide each side by '0.5'. x = 10 Simplifying x = 10
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