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Simplifying 0.09x + 11(500 + -1x) = 51 0.09x + (500 * 11 + -1x * 11) = 51 0.09x + (5500 + -11x) = 51 Reorder the terms: 5500 + 0.09x + -11x = 51 Combine like terms: 0.09x + -11x = -10.91x 5500 + -10.91x = 51 Solving 5500 + -10.91x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5500' to each side of the equation. 5500 + -5500 + -10.91x = 51 + -5500 Combine like terms: 5500 + -5500 = 0 0 + -10.91x = 51 + -5500 -10.91x = 51 + -5500 Combine like terms: 51 + -5500 = -5449 -10.91x = -5449 Divide each side by '-10.91'. x = 499.4500458 Simplifying x = 499.4500458
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