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Simplifying 5(7x + 9) = 290 Reorder the terms: 5(9 + 7x) = 290 (9 * 5 + 7x * 5) = 290 (45 + 35x) = 290 Solving 45 + 35x = 290 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 35x = 290 + -45 Combine like terms: 45 + -45 = 0 0 + 35x = 290 + -45 35x = 290 + -45 Combine like terms: 290 + -45 = 245 35x = 245 Divide each side by '35'. x = 7 Simplifying x = 7
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