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Simplifying 6(5x + 7) = 102 Reorder the terms: 6(7 + 5x) = 102 (7 * 6 + 5x * 6) = 102 (42 + 30x) = 102 Solving 42 + 30x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 30x = 102 + -42 Combine like terms: 42 + -42 = 0 0 + 30x = 102 + -42 30x = 102 + -42 Combine like terms: 102 + -42 = 60 30x = 60 Divide each side by '30'. x = 2 Simplifying x = 2
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