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Simplifying (0.10x + 25) = (0.05x + 10) Reorder the terms: (25 + 0.10x) = (0.05x + 10) Remove parenthesis around (25 + 0.10x) 25 + 0.10x = (0.05x + 10) Reorder the terms: 25 + 0.10x = (10 + 0.05x) Remove parenthesis around (10 + 0.05x) 25 + 0.10x = 10 + 0.05x Solving 25 + 0.10x = 10 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 25 + 0.10x + -0.05x = 10 + 0.05x + -0.05x Combine like terms: 0.10x + -0.05x = 0.05x 25 + 0.05x = 10 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 25 + 0.05x = 10 + 0.00 25 + 0.05x = 10 Add '-25' to each side of the equation. 25 + -25 + 0.05x = 10 + -25 Combine like terms: 25 + -25 = 0 0 + 0.05x = 10 + -25 0.05x = 10 + -25 Combine like terms: 10 + -25 = -15 0.05x = -15 Divide each side by '0.05'. x = -300 Simplifying x = -300
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