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Simplifying 0.05 = 0.077x + 0.022(1 + -1x) 0.05 = 0.077x + (1 * 0.022 + -1x * 0.022) 0.05 = 0.077x + (0.022 + -0.022x) Reorder the terms: 0.05 = 0.022 + 0.077x + -0.022x Combine like terms: 0.077x + -0.022x = 0.055x 0.05 = 0.022 + 0.055x Solving 0.05 = 0.022 + 0.055x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.055x' to each side of the equation. 0.05 + -0.055x = 0.022 + 0.055x + -0.055x Combine like terms: 0.055x + -0.055x = 0.000 0.05 + -0.055x = 0.022 + 0.000 0.05 + -0.055x = 0.022 Add '-0.05' to each side of the equation. 0.05 + -0.05 + -0.055x = 0.022 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + -0.055x = 0.022 + -0.05 -0.055x = 0.022 + -0.05 Combine like terms: 0.022 + -0.05 = -0.028 -0.055x = -0.028 Divide each side by '-0.055'. x = 0.5090909091 Simplifying x = 0.5090909091
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