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Simplifying 6(7x + 7x) = 7(6x + 6) Combine like terms: 7x + 7x = 14x 6(14x) = 7(6x + 6) Remove parenthesis around (14x) 6 * 14x = 7(6x + 6) Multiply 6 * 14 84x = 7(6x + 6) Reorder the terms: 84x = 7(6 + 6x) 84x = (6 * 7 + 6x * 7) 84x = (42 + 42x) Solving 84x = 42 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 84x + -42x = 42 + 42x + -42x Combine like terms: 84x + -42x = 42x 42x = 42 + 42x + -42x Combine like terms: 42x + -42x = 0 42x = 42 + 0 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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