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Simplifying 5(7x + 6) = 415 Reorder the terms: 5(6 + 7x) = 415 (6 * 5 + 7x * 5) = 415 (30 + 35x) = 415 Solving 30 + 35x = 415 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 35x = 415 + -30 Combine like terms: 30 + -30 = 0 0 + 35x = 415 + -30 35x = 415 + -30 Combine like terms: 415 + -30 = 385 35x = 385 Divide each side by '35'. x = 11 Simplifying x = 11
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