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Simplifying (x + 1) * 6 = 420 Reorder the terms: (1 + x) * 6 = 420 Reorder the terms for easier multiplication: 6(1 + x) = 420 (1 * 6 + x * 6) = 420 (6 + 6x) = 420 Solving 6 + 6x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6x = 420 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 420 + -6 6x = 420 + -6 Combine like terms: 420 + -6 = 414 6x = 414 Divide each side by '6'. x = 69 Simplifying x = 69
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