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Simplifying 7(1 + x) + 1 = 50 (1 * 7 + x * 7) + 1 = 50 (7 + 7x) + 1 = 50 Reorder the terms: 7 + 1 + 7x = 50 Combine like terms: 7 + 1 = 8 8 + 7x = 50 Solving 8 + 7x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 50 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 50 + -8 7x = 50 + -8 Combine like terms: 50 + -8 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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