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Simplifying 7[6x + 1] = 427 Reorder the terms: 7[1 + 6x] = 427 [1 * 7 + 6x * 7] = 427 [7 + 42x] = 427 Solving 7 + 42x = 427 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 + 42x = 427 + -7 Combine like terms: 7 + -7 = 0 0 + 42x = 427 + -7 42x = 427 + -7 Combine like terms: 427 + -7 = 420 42x = 420 Divide each side by '42'. x = 10 Simplifying x = 10
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