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Simplifying 0.09x + 17 = 0.05x + 28 Reorder the terms: 17 + 0.09x = 0.05x + 28 Reorder the terms: 17 + 0.09x = 28 + 0.05x Solving 17 + 0.09x = 28 + 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. 17 + 0.09x + -0.05x = 28 + 0.05x + -0.05x Combine like terms: 0.09x + -0.05x = 0.04x 17 + 0.04x = 28 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 17 + 0.04x = 28 + 0.00 17 + 0.04x = 28 Add '-17' to each side of the equation. 17 + -17 + 0.04x = 28 + -17 Combine like terms: 17 + -17 = 0 0 + 0.04x = 28 + -17 0.04x = 28 + -17 Combine like terms: 28 + -17 = 11 0.04x = 11 Divide each side by '0.04'. x = 275 Simplifying x = 275
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