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Simplifying 0.07x + 0.09(2000 + -1x) = 164 0.07x + (2000 * 0.09 + -1x * 0.09) = 164 0.07x + (180 + -0.09x) = 164 Reorder the terms: 180 + 0.07x + -0.09x = 164 Combine like terms: 0.07x + -0.09x = -0.02x 180 + -0.02x = 164 Solving 180 + -0.02x = 164 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -180 + -0.02x = 164 + -180 Combine like terms: 180 + -180 = 0 0 + -0.02x = 164 + -180 -0.02x = 164 + -180 Combine like terms: 164 + -180 = -16 -0.02x = -16 Divide each side by '-0.02'. x = 800 Simplifying x = 800
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