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Simplifying 0.08x + 0.06(1500 + -1x) = 106.40 0.08x + (1500 * 0.06 + -1x * 0.06) = 106.40 0.08x + (90 + -0.06x) = 106.40 Reorder the terms: 90 + 0.08x + -0.06x = 106.40 Combine like terms: 0.08x + -0.06x = 0.02x 90 + 0.02x = 106.40 Solving 90 + 0.02x = 106.40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 0.02x = 106.40 + -90 Combine like terms: 90 + -90 = 0 0 + 0.02x = 106.40 + -90 0.02x = 106.40 + -90 Combine like terms: 106.40 + -90 = 16.4 0.02x = 16.4 Divide each side by '0.02'. x = 820 Simplifying x = 820
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