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Simplifying 0.03(200) + 0.06 = 0.05(200 + x) Multiply 0.03 * 200 6 + 0.06 = 0.05(200 + x) Combine like terms: 6 + 0.06 = 6.06 6.06 = 0.05(200 + x) 6.06 = (200 * 0.05 + x * 0.05) 6.06 = (10 + 0.05x) Solving 6.06 = 10 + 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. 6.06 + -0.05x = 10 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 6.06 + -0.05x = 10 + 0.00 6.06 + -0.05x = 10 Add '-6.06' to each side of the equation. 6.06 + -6.06 + -0.05x = 10 + -6.06 Combine like terms: 6.06 + -6.06 = 0.00 0.00 + -0.05x = 10 + -6.06 -0.05x = 10 + -6.06 Combine like terms: 10 + -6.06 = 3.94 -0.05x = 3.94 Divide each side by '-0.05'. x = -78.8 Simplifying x = -78.8
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