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Simplifying 7(x + 1) = 91 Reorder the terms: 7(1 + x) = 91 (1 * 7 + x * 7) = 91 (7 + 7x) = 91 Solving 7 + 7x = 91 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 + 7x = 91 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 91 + -7 7x = 91 + -7 Combine like terms: 91 + -7 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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