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Simplifying 0.04x + 0.05(1500 + -1x) = 690 0.04x + (1500 * 0.05 + -1x * 0.05) = 690 0.04x + (75 + -0.05x) = 690 Reorder the terms: 75 + 0.04x + -0.05x = 690 Combine like terms: 0.04x + -0.05x = -0.01x 75 + -0.01x = 690 Solving 75 + -0.01x = 690 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -0.01x = 690 + -75 Combine like terms: 75 + -75 = 0 0 + -0.01x = 690 + -75 -0.01x = 690 + -75 Combine like terms: 690 + -75 = 615 -0.01x = 615 Divide each side by '-0.01'. x = -61500 Simplifying x = -61500
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