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Simplifying 0.07x + 0.04(1500 + -1x) = 79.5 0.07x + (1500 * 0.04 + -1x * 0.04) = 79.5 0.07x + (60 + -0.04x) = 79.5 Reorder the terms: 60 + 0.07x + -0.04x = 79.5 Combine like terms: 0.07x + -0.04x = 0.03x 60 + 0.03x = 79.5 Solving 60 + 0.03x = 79.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 0.03x = 79.5 + -60 Combine like terms: 60 + -60 = 0 0 + 0.03x = 79.5 + -60 0.03x = 79.5 + -60 Combine like terms: 79.5 + -60 = 19.5 0.03x = 19.5 Divide each side by '0.03'. x = 650 Simplifying x = 650
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