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Simplifying 0.05x + 40 = 0.07x + 30 Reorder the terms: 40 + 0.05x = 0.07x + 30 Reorder the terms: 40 + 0.05x = 30 + 0.07x Solving 40 + 0.05x = 30 + 0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07x' to each side of the equation. 40 + 0.05x + -0.07x = 30 + 0.07x + -0.07x Combine like terms: 0.05x + -0.07x = -0.02x 40 + -0.02x = 30 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 40 + -0.02x = 30 + 0.00 40 + -0.02x = 30 Add '-40' to each side of the equation. 40 + -40 + -0.02x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -0.02x = 30 + -40 -0.02x = 30 + -40 Combine like terms: 30 + -40 = -10 -0.02x = -10 Divide each side by '-0.02'. x = 500 Simplifying x = 500
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