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Simplifying 3x + 5 = 0.5x + 10 Reorder the terms: 5 + 3x = 0.5x + 10 Reorder the terms: 5 + 3x = 10 + 0.5x Solving 5 + 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. 5 + 3x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x 5 + 2.5x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 2.5x = 10 + 0.0 5 + 2.5x = 10 Add '-5' to each side of the equation. 5 + -5 + 2.5x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 2.5x = 10 + -5 2.5x = 10 + -5 Combine like terms: 10 + -5 = 5 2.5x = 5 Divide each side by '2.5'. x = 2 Simplifying x = 2
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