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Simplifying 0.08 = 0.04x + 0.1(1 + -1x) 0.08 = 0.04x + (1 * 0.1 + -1x * 0.1) 0.08 = 0.04x + (0.1 + -0.1x) Reorder the terms: 0.08 = 0.1 + 0.04x + -0.1x Combine like terms: 0.04x + -0.1x = -0.06x 0.08 = 0.1 + -0.06x Solving 0.08 = 0.1 + -0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.06x' to each side of the equation. 0.08 + 0.06x = 0.1 + -0.06x + 0.06x Combine like terms: -0.06x + 0.06x = 0.00 0.08 + 0.06x = 0.1 + 0.00 0.08 + 0.06x = 0.1 Add '-0.08' to each side of the equation. 0.08 + -0.08 + 0.06x = 0.1 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + 0.06x = 0.1 + -0.08 0.06x = 0.1 + -0.08 Combine like terms: 0.1 + -0.08 = 0.02 0.06x = 0.02 Divide each side by '0.06'. x = 0.3333333333 Simplifying x = 0.3333333333
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