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Simplifying 7(5x + 1) = 182 Reorder the terms: 7(1 + 5x) = 182 (1 * 7 + 5x * 7) = 182 (7 + 35x) = 182 Solving 7 + 35x = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 35x = 182 + -7 Combine like terms: 7 + -7 = 0 0 + 35x = 182 + -7 35x = 182 + -7 Combine like terms: 182 + -7 = 175 35x = 175 Divide each side by '35'. x = 5 Simplifying x = 5
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