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Simplifying 25 + x = 0.2(250 + x) 25 + x = (250 * 0.2 + x * 0.2) 25 + x = (50 + 0.2x) Solving 25 + x = 50 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 25 + x + -0.2x = 50 + 0.2x + -0.2x Combine like terms: x + -0.2x = 0.8x 25 + 0.8x = 50 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 25 + 0.8x = 50 + 0.0 25 + 0.8x = 50 Add '-25' to each side of the equation. 25 + -25 + 0.8x = 50 + -25 Combine like terms: 25 + -25 = 0 0 + 0.8x = 50 + -25 0.8x = 50 + -25 Combine like terms: 50 + -25 = 25 0.8x = 25 Divide each side by '0.8'. x = 31.25 Simplifying x = 31.25
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