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Simplifying x + (0.35(100 + -1x)) = 81 x + ((100 * 0.35 + -1x * 0.35)) = 81 x + ((35 + -0.35x)) = 81 x + (35 + -0.35x) = 81 Remove parenthesis around (35 + -0.35x) x + 35 + -0.35x = 81 Reorder the terms: 35 + x + -0.35x = 81 Combine like terms: x + -0.35x = 0.65x 35 + 0.65x = 81 Solving 35 + 0.65x = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 0.65x = 81 + -35 Combine like terms: 35 + -35 = 0 0 + 0.65x = 81 + -35 0.65x = 81 + -35 Combine like terms: 81 + -35 = 46 0.65x = 46 Divide each side by '0.65'. x = 70.76923077 Simplifying x = 70.76923077
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