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Simplifying 0.05(x + 400) + 0.04x = 713 Reorder the terms: 0.05(400 + x) + 0.04x = 713 (400 * 0.05 + x * 0.05) + 0.04x = 713 (20 + 0.05x) + 0.04x = 713 Combine like terms: 0.05x + 0.04x = 0.09x 20 + 0.09x = 713 Solving 20 + 0.09x = 713 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.09x = 713 + -20 Combine like terms: 20 + -20 = 0 0 + 0.09x = 713 + -20 0.09x = 713 + -20 Combine like terms: 713 + -20 = 693 0.09x = 693 Divide each side by '0.09'. x = 7700 Simplifying x = 7700
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