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Simplifying 0.02x + 90 = 0.07x + 70 Reorder the terms: 90 + 0.02x = 0.07x + 70 Reorder the terms: 90 + 0.02x = 70 + 0.07x Solving 90 + 0.02x = 70 + 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. 90 + 0.02x + -0.07x = 70 + 0.07x + -0.07x Combine like terms: 0.02x + -0.07x = -0.05x 90 + -0.05x = 70 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 90 + -0.05x = 70 + 0.00 90 + -0.05x = 70 Add '-90' to each side of the equation. 90 + -90 + -0.05x = 70 + -90 Combine like terms: 90 + -90 = 0 0 + -0.05x = 70 + -90 -0.05x = 70 + -90 Combine like terms: 70 + -90 = -20 -0.05x = -20 Divide each side by '-0.05'. x = 400 Simplifying x = 400
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