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Simplifying 0.12x + 0.10(1500 + -1x) = 1600 0.12x + (1500 * 0.10 + -1x * 0.10) = 1600 0.12x + (150 + -0.1x) = 1600 Reorder the terms: 150 + 0.12x + -0.1x = 1600 Combine like terms: 0.12x + -0.1x = 0.02x 150 + 0.02x = 1600 Solving 150 + 0.02x = 1600 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + 0.02x = 1600 + -150 Combine like terms: 150 + -150 = 0 0 + 0.02x = 1600 + -150 0.02x = 1600 + -150 Combine like terms: 1600 + -150 = 1450 0.02x = 1450 Divide each side by '0.02'. x = 72500 Simplifying x = 72500
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