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Simplifying 5 + 2x = 10 + 0.5x Solving 5 + 2x = 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 + 2x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 5 + 1.5x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 1.5x = 10 + 0.0 5 + 1.5x = 10 Add '-5' to each side of the equation. 5 + -5 + 1.5x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1.5x = 10 + -5 1.5x = 10 + -5 Combine like terms: 10 + -5 = 5 1.5x = 5 Divide each side by '1.5'. x = 3.333333333 Simplifying x = 3.333333333
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