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Simplifying 25 + 0.2x = 30 + 0.1x Solving 25 + 0.2x = 30 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 25 + 0.2x + -0.1x = 30 + 0.1x + -0.1x Combine like terms: 0.2x + -0.1x = 0.1x 25 + 0.1x = 30 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 25 + 0.1x = 30 + 0.0 25 + 0.1x = 30 Add '-25' to each side of the equation. 25 + -25 + 0.1x = 30 + -25 Combine like terms: 25 + -25 = 0 0 + 0.1x = 30 + -25 0.1x = 30 + -25 Combine like terms: 30 + -25 = 5 0.1x = 5 Divide each side by '0.1'. x = 50 Simplifying x = 50
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