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Simplifying 100(0.06x + 0.10(2x + 24000)) = 100(23980) Reorder the terms: 100(0.06x + 0.10(24000 + 2x)) = 100(23980) 100(0.06x + (24000 * 0.10 + 2x * 0.10)) = 100(23980) 100(0.06x + (2400 + 0.2x)) = 100(23980) Reorder the terms: 100(2400 + 0.06x + 0.2x) = 100(23980) Combine like terms: 0.06x + 0.2x = 0.26x 100(2400 + 0.26x) = 100(23980) (2400 * 100 + 0.26x * 100) = 100(23980) (240000 + 26x) = 100(23980) Multiply 100 * 23980 240000 + 26x = 2398000 Solving 240000 + 26x = 2398000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-240000' to each side of the equation. 240000 + -240000 + 26x = 2398000 + -240000 Combine like terms: 240000 + -240000 = 0 0 + 26x = 2398000 + -240000 26x = 2398000 + -240000 Combine like terms: 2398000 + -240000 = 2158000 26x = 2158000 Divide each side by '26'. x = 83000 Simplifying x = 83000
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