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Simplifying 0.08 = 0.05 + x + (0.05x) Combine like terms: x + (0.05x) = 1.05x 0.08 = 0.05 + 1.05x Solving 0.08 = 0.05 + 1.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05x' to each side of the equation. 0.08 + -1.05x = 0.05 + 1.05x + -1.05x Combine like terms: 1.05x + -1.05x = 0.00 0.08 + -1.05x = 0.05 + 0.00 0.08 + -1.05x = 0.05 Add '-0.08' to each side of the equation. 0.08 + -0.08 + -1.05x = 0.05 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + -1.05x = 0.05 + -0.08 -1.05x = 0.05 + -0.08 Combine like terms: 0.05 + -0.08 = -0.03 -1.05x = -0.03 Divide each side by '-1.05'. x = 0.02857142857 Simplifying x = 0.02857142857
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