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Simplifying 0.05x + 750 = 0.09x + 500 Reorder the terms: 750 + 0.05x = 0.09x + 500 Reorder the terms: 750 + 0.05x = 500 + 0.09x Solving 750 + 0.05x = 500 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. 750 + 0.05x + -0.09x = 500 + 0.09x + -0.09x Combine like terms: 0.05x + -0.09x = -0.04x 750 + -0.04x = 500 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 750 + -0.04x = 500 + 0.00 750 + -0.04x = 500 Add '-750' to each side of the equation. 750 + -750 + -0.04x = 500 + -750 Combine like terms: 750 + -750 = 0 0 + -0.04x = 500 + -750 -0.04x = 500 + -750 Combine like terms: 500 + -750 = -250 -0.04x = -250 Divide each side by '-0.04'. x = 6250 Simplifying x = 6250
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