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Simplifying 0.12 + 0.09(5000 + -1x) = 513 0.12 + (5000 * 0.09 + -1x * 0.09) = 513 0.12 + (450 + -0.09x) = 513 Combine like terms: 0.12 + 450 = 450.12 450.12 + -0.09x = 513 Solving 450.12 + -0.09x = 513 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-450.12' to each side of the equation. 450.12 + -450.12 + -0.09x = 513 + -450.12 Combine like terms: 450.12 + -450.12 = 0.00 0.00 + -0.09x = 513 + -450.12 -0.09x = 513 + -450.12 Combine like terms: 513 + -450.12 = 62.88 -0.09x = 62.88 Divide each side by '-0.09'. x = -698.6666667 Simplifying x = -698.6666667
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