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Simplifying 0.10x + 2 = 0.05x + 3.95 Reorder the terms: 2 + 0.10x = 0.05x + 3.95 Reorder the terms: 2 + 0.10x = 3.95 + 0.05x Solving 2 + 0.10x = 3.95 + 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. 2 + 0.10x + -0.05x = 3.95 + 0.05x + -0.05x Combine like terms: 0.10x + -0.05x = 0.05x 2 + 0.05x = 3.95 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 2 + 0.05x = 3.95 + 0.00 2 + 0.05x = 3.95 Add '-2' to each side of the equation. 2 + -2 + 0.05x = 3.95 + -2 Combine like terms: 2 + -2 = 0 0 + 0.05x = 3.95 + -2 0.05x = 3.95 + -2 Combine like terms: 3.95 + -2 = 1.95 0.05x = 1.95 Divide each side by '0.05'. x = 39 Simplifying x = 39
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