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Simplifying 17(5x + 3) = 401 + 35x Reorder the terms: 17(3 + 5x) = 401 + 35x (3 * 17 + 5x * 17) = 401 + 35x (51 + 85x) = 401 + 35x Solving 51 + 85x = 401 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 51 + 85x + -35x = 401 + 35x + -35x Combine like terms: 85x + -35x = 50x 51 + 50x = 401 + 35x + -35x Combine like terms: 35x + -35x = 0 51 + 50x = 401 + 0 51 + 50x = 401 Add '-51' to each side of the equation. 51 + -51 + 50x = 401 + -51 Combine like terms: 51 + -51 = 0 0 + 50x = 401 + -51 50x = 401 + -51 Combine like terms: 401 + -51 = 350 50x = 350 Divide each side by '50'. x = 7 Simplifying x = 7
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