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Simplifying 470 + 0.09x = 750 + 0.05x Solving 470 + 0.09x = 750 + 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. 470 + 0.09x + -0.05x = 750 + 0.05x + -0.05x Combine like terms: 0.09x + -0.05x = 0.04x 470 + 0.04x = 750 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 470 + 0.04x = 750 + 0.00 470 + 0.04x = 750 Add '-470' to each side of the equation. 470 + -470 + 0.04x = 750 + -470 Combine like terms: 470 + -470 = 0 0 + 0.04x = 750 + -470 0.04x = 750 + -470 Combine like terms: 750 + -470 = 280 0.04x = 280 Divide each side by '0.04'. x = 7000 Simplifying x = 7000
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