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Simplifying 0.06(100 + -1x) + 0.10x = 80 (100 * 0.06 + -1x * 0.06) + 0.10x = 80 (6 + -0.06x) + 0.10x = 80 Combine like terms: -0.06x + 0.10x = 0.04x 6 + 0.04x = 80 Solving 6 + 0.04x = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.04x = 80 + -6 Combine like terms: 6 + -6 = 0 0 + 0.04x = 80 + -6 0.04x = 80 + -6 Combine like terms: 80 + -6 = 74 0.04x = 74 Divide each side by '0.04'. x = 1850 Simplifying x = 1850
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