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Simplifying 0.06(1000 + -1x) + 0.10x = 80 (1000 * 0.06 + -1x * 0.06) + 0.10x = 80 (60 + -0.06x) + 0.10x = 80 Combine like terms: -0.06x + 0.10x = 0.04x 60 + 0.04x = 80 Solving 60 + 0.04x = 80 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 + 0.04x = 80 + -60 Combine like terms: 60 + -60 = 0 0 + 0.04x = 80 + -60 0.04x = 80 + -60 Combine like terms: 80 + -60 = 20 0.04x = 20 Divide each side by '0.04'. x = 500 Simplifying x = 500
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