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Simplifying 0.055(200) + 0.08x = 0.07(200 + x) Multiply 0.055 * 200 11 + 0.08x = 0.07(200 + x) 11 + 0.08x = (200 * 0.07 + x * 0.07) 11 + 0.08x = (14 + 0.07x) Solving 11 + 0.08x = 14 + 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. 11 + 0.08x + -0.07x = 14 + 0.07x + -0.07x Combine like terms: 0.08x + -0.07x = 0.01x 11 + 0.01x = 14 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 11 + 0.01x = 14 + 0.00 11 + 0.01x = 14 Add '-11' to each side of the equation. 11 + -11 + 0.01x = 14 + -11 Combine like terms: 11 + -11 = 0 0 + 0.01x = 14 + -11 0.01x = 14 + -11 Combine like terms: 14 + -11 = 3 0.01x = 3 Divide each side by '0.01'. x = 300 Simplifying x = 300
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