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Simplifying 0.09x + 0.10(4x + 46000) = 46250 Reorder the terms: 0.09x + 0.10(46000 + 4x) = 46250 0.09x + (46000 * 0.10 + 4x * 0.10) = 46250 0.09x + (4600 + 0.4x) = 46250 Reorder the terms: 4600 + 0.09x + 0.4x = 46250 Combine like terms: 0.09x + 0.4x = 0.49x 4600 + 0.49x = 46250 Solving 4600 + 0.49x = 46250 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4600' to each side of the equation. 4600 + -4600 + 0.49x = 46250 + -4600 Combine like terms: 4600 + -4600 = 0 0 + 0.49x = 46250 + -4600 0.49x = 46250 + -4600 Combine like terms: 46250 + -4600 = 41650 0.49x = 41650 Divide each side by '0.49'. x = 85000 Simplifying x = 85000
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