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Simplifying 6(x + 1) = 42 Reorder the terms: 6(1 + x) = 42 (1 * 6 + x * 6) = 42 (6 + 6x) = 42 Solving 6 + 6x = 42 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 = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 42 + -6 6x = 42 + -6 Combine like terms: 42 + -6 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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