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Simplifying -0.055(200) + 0.08x = 0.05(200 + x) Multiply -0.055 * 200 -11 + 0.08x = 0.05(200 + x) -11 + 0.08x = (200 * 0.05 + x * 0.05) -11 + 0.08x = (10 + 0.05x) Solving -11 + 0.08x = 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. -11 + 0.08x + -0.05x = 10 + 0.05x + -0.05x Combine like terms: 0.08x + -0.05x = 0.03x -11 + 0.03x = 10 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -11 + 0.03x = 10 + 0.00 -11 + 0.03x = 10 Add '11' to each side of the equation. -11 + 11 + 0.03x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 0.03x = 10 + 11 0.03x = 10 + 11 Combine like terms: 10 + 11 = 21 0.03x = 21 Divide each side by '0.03'. x = 700 Simplifying x = 700
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