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Simplifying 300 = 0.04x + 0.07(5000 + -1x) 300 = 0.04x + (5000 * 0.07 + -1x * 0.07) 300 = 0.04x + (350 + -0.07x) Reorder the terms: 300 = 350 + 0.04x + -0.07x Combine like terms: 0.04x + -0.07x = -0.03x 300 = 350 + -0.03x Solving 300 = 350 + -0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.03x' to each side of the equation. 300 + 0.03x = 350 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 300 + 0.03x = 350 + 0.00 300 + 0.03x = 350 Add '-300' to each side of the equation. 300 + -300 + 0.03x = 350 + -300 Combine like terms: 300 + -300 = 0 0 + 0.03x = 350 + -300 0.03x = 350 + -300 Combine like terms: 350 + -300 = 50 0.03x = 50 Divide each side by '0.03'. x = 1666.666667 Simplifying x = 1666.666667
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