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Simplifying 6(7x + 7) = 7(6 + 6) Reorder the terms: 6(7 + 7x) = 7(6 + 6) (7 * 6 + 7x * 6) = 7(6 + 6) (42 + 42x) = 7(6 + 6) Combine like terms: 6 + 6 = 12 42 + 42x = 7(12) Multiply 7 * 12 42 + 42x = 84 Solving 42 + 42x = 84 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 + 42x = 84 + -42 Combine like terms: 42 + -42 = 0 0 + 42x = 84 + -42 42x = 84 + -42 Combine like terms: 84 + -42 = 42 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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