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Simplifying 0.075(x + 4000) = 0.08 + 0.07(1000) Reorder the terms: 0.075(4000 + x) = 0.08 + 0.07(1000) (4000 * 0.075 + x * 0.075) = 0.08 + 0.07(1000) (300 + 0.075x) = 0.08 + 0.07(1000) Multiply 0.07 * 1000 300 + 0.075x = 0.08 + 70 Combine like terms: 0.08 + 70 = 70.08 300 + 0.075x = 70.08 Solving 300 + 0.075x = 70.08 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + 0.075x = 70.08 + -300 Combine like terms: 300 + -300 = 0 0 + 0.075x = 70.08 + -300 0.075x = 70.08 + -300 Combine like terms: 70.08 + -300 = -229.92 0.075x = -229.92 Divide each side by '0.075'. x = -3065.6 Simplifying x = -3065.6
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