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Simplifying 0.098 = (0.114x) + (0.064(1 + -1x)) 0.098 = (0.114x) + ((1 * 0.064 + -1x * 0.064)) 0.098 = (0.114x) + ((0.064 + -0.064x)) 0.098 = (0.114x) + (0.064 + -0.064x) Remove parenthesis around (0.064 + -0.064x) 0.098 = (0.114x) + 0.064 + -0.064x Reorder the terms: 0.098 = 0.064 + (0.114x) + -0.064x Combine like terms: (0.114x) + -0.064x = 0.05x 0.098 = 0.064 + 0.05x Solving 0.098 = 0.064 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 0.098 + -0.05x = 0.064 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.098 + -0.05x = 0.064 + 0.00 0.098 + -0.05x = 0.064 Add '-0.098' to each side of the equation. 0.098 + -0.098 + -0.05x = 0.064 + -0.098 Combine like terms: 0.098 + -0.098 = 0.000 0.000 + -0.05x = 0.064 + -0.098 -0.05x = 0.064 + -0.098 Combine like terms: 0.064 + -0.098 = -0.034 -0.05x = -0.034 Divide each side by '-0.05'. x = 0.68 Simplifying x = 0.68
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