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Simplifying x(0.10)(1) + (180000 + -1x)(0.08) = 16400 Reorder the terms for easier multiplication: 0.10 * 1x + (180000 + -1x)(0.08) = 16400 Multiply 0.10 * 1 0.1x + (180000 + -1x)(0.08) = 16400 Reorder the terms for easier multiplication: 0.1x + 0.08(180000 + -1x) = 16400 0.1x + (180000 * 0.08 + -1x * 0.08) = 16400 0.1x + (14400 + -0.08x) = 16400 Reorder the terms: 14400 + 0.1x + -0.08x = 16400 Combine like terms: 0.1x + -0.08x = 0.02x 14400 + 0.02x = 16400 Solving 14400 + 0.02x = 16400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14400' to each side of the equation. 14400 + -14400 + 0.02x = 16400 + -14400 Combine like terms: 14400 + -14400 = 0 0 + 0.02x = 16400 + -14400 0.02x = 16400 + -14400 Combine like terms: 16400 + -14400 = 2000 0.02x = 2000 Divide each side by '0.02'. x = 100000 Simplifying x = 100000
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