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