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Simplifying 0.08x + 0.1(100 + -1x) = 8.6 0.08x + (100 * 0.1 + -1x * 0.1) = 8.6 0.08x + (10 + -0.1x) = 8.6 Reorder the terms: 10 + 0.08x + -0.1x = 8.6 Combine like terms: 0.08x + -0.1x = -0.02x 10 + -0.02x = 8.6 Solving 10 + -0.02x = 8.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -0.02x = 8.6 + -10 Combine like terms: 10 + -10 = 0 0 + -0.02x = 8.6 + -10 -0.02x = 8.6 + -10 Combine like terms: 8.6 + -10 = -1.4 -0.02x = -1.4 Divide each side by '-0.02'. x = 70 Simplifying x = 70
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