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Simplifying 0.05x + 0.07(1000 + -1x) = 64 0.05x + (1000 * 0.07 + -1x * 0.07) = 64 0.05x + (70 + -0.07x) = 64 Reorder the terms: 70 + 0.05x + -0.07x = 64 Combine like terms: 0.05x + -0.07x = -0.02x 70 + -0.02x = 64 Solving 70 + -0.02x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -0.02x = 64 + -70 Combine like terms: 70 + -70 = 0 0 + -0.02x = 64 + -70 -0.02x = 64 + -70 Combine like terms: 64 + -70 = -6 -0.02x = -6 Divide each side by '-0.02'. x = 300 Simplifying x = 300
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