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Simplifying 0.07x + 40 = 0.05x + 45 Reorder the terms: 40 + 0.07x = 0.05x + 45 Reorder the terms: 40 + 0.07x = 45 + 0.05x Solving 40 + 0.07x = 45 + 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. 40 + 0.07x + -0.05x = 45 + 0.05x + -0.05x Combine like terms: 0.07x + -0.05x = 0.02x 40 + 0.02x = 45 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 40 + 0.02x = 45 + 0.00 40 + 0.02x = 45 Add '-40' to each side of the equation. 40 + -40 + 0.02x = 45 + -40 Combine like terms: 40 + -40 = 0 0 + 0.02x = 45 + -40 0.02x = 45 + -40 Combine like terms: 45 + -40 = 5 0.02x = 5 Divide each side by '0.02'. x = 250 Simplifying x = 250
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