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Simplifying 32000 = 0.05x + 0.11(32000 + -1x) 32000 = 0.05x + (32000 * 0.11 + -1x * 0.11) 32000 = 0.05x + (3520 + -0.11x) Reorder the terms: 32000 = 3520 + 0.05x + -0.11x Combine like terms: 0.05x + -0.11x = -0.06x 32000 = 3520 + -0.06x Solving 32000 = 3520 + -0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.06x' to each side of the equation. 32000 + 0.06x = 3520 + -0.06x + 0.06x Combine like terms: -0.06x + 0.06x = 0.00 32000 + 0.06x = 3520 + 0.00 32000 + 0.06x = 3520 Add '-32000' to each side of the equation. 32000 + -32000 + 0.06x = 3520 + -32000 Combine like terms: 32000 + -32000 = 0 0 + 0.06x = 3520 + -32000 0.06x = 3520 + -32000 Combine like terms: 3520 + -32000 = -28480 0.06x = -28480 Divide each side by '0.06'. x = -474666.6667 Simplifying x = -474666.6667
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