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Simplifying 0.04(49000 + x) = 0.06(49000) + 0.03 (49000 * 0.04 + x * 0.04) = 0.06(49000) + 0.03 (1960 + 0.04x) = 0.06(49000) + 0.03 Multiply 0.06 * 49000 1960 + 0.04x = 2940 + 0.03 Combine like terms: 2940 + 0.03 = 2940.03 1960 + 0.04x = 2940.03 Solving 1960 + 0.04x = 2940.03 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1960' to each side of the equation. 1960 + -1960 + 0.04x = 2940.03 + -1960 Combine like terms: 1960 + -1960 = 0 0 + 0.04x = 2940.03 + -1960 0.04x = 2940.03 + -1960 Combine like terms: 2940.03 + -1960 = 980.03 0.04x = 980.03 Divide each side by '0.04'. x = 24500.75 Simplifying x = 24500.75
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