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Simplifying 6(7x + 3) + 2 = 42 + 20 Reorder the terms: 6(3 + 7x) + 2 = 42 + 20 (3 * 6 + 7x * 6) + 2 = 42 + 20 (18 + 42x) + 2 = 42 + 20 Reorder the terms: 18 + 2 + 42x = 42 + 20 Combine like terms: 18 + 2 = 20 20 + 42x = 42 + 20 Combine like terms: 42 + 20 = 62 20 + 42x = 62 Solving 20 + 42x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 42x = 62 + -20 Combine like terms: 20 + -20 = 0 0 + 42x = 62 + -20 42x = 62 + -20 Combine like terms: 62 + -20 = 42 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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