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Simplifying 0.4x + 0.7(5000 + -1x) = 300 0.4x + (5000 * 0.7 + -1x * 0.7) = 300 0.4x + (3500 + -0.7x) = 300 Reorder the terms: 3500 + 0.4x + -0.7x = 300 Combine like terms: 0.4x + -0.7x = -0.3x 3500 + -0.3x = 300 Solving 3500 + -0.3x = 300 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3500' to each side of the equation. 3500 + -3500 + -0.3x = 300 + -3500 Combine like terms: 3500 + -3500 = 0 0 + -0.3x = 300 + -3500 -0.3x = 300 + -3500 Combine like terms: 300 + -3500 = -3200 -0.3x = -3200 Divide each side by '-0.3'. x = 10666.66667 Simplifying x = 10666.66667
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