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Simplifying 0.06(x + 200) = 0.05x + 15 Reorder the terms: 0.06(200 + x) = 0.05x + 15 (200 * 0.06 + x * 0.06) = 0.05x + 15 (12 + 0.06x) = 0.05x + 15 Reorder the terms: 12 + 0.06x = 15 + 0.05x Solving 12 + 0.06x = 15 + 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. 12 + 0.06x + -0.05x = 15 + 0.05x + -0.05x Combine like terms: 0.06x + -0.05x = 0.01x 12 + 0.01x = 15 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 12 + 0.01x = 15 + 0.00 12 + 0.01x = 15 Add '-12' to each side of the equation. 12 + -12 + 0.01x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 0.01x = 15 + -12 0.01x = 15 + -12 Combine like terms: 15 + -12 = 3 0.01x = 3 Divide each side by '0.01'. x = 300 Simplifying x = 300
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