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Simplifying (x + 2) * 6 = 420 Reorder the terms: (2 + x) * 6 = 420 Reorder the terms for easier multiplication: 6(2 + x) = 420 (2 * 6 + x * 6) = 420 (12 + 6x) = 420 Solving 12 + 6x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6x = 420 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 420 + -12 6x = 420 + -12 Combine like terms: 420 + -12 = 408 6x = 408 Divide each side by '6'. x = 68 Simplifying x = 68
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