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Simplifying 6(7x + 7) = (6x + 6) Reorder the terms: 6(7 + 7x) = (6x + 6) (7 * 6 + 7x * 6) = (6x + 6) (42 + 42x) = (6x + 6) Reorder the terms: 42 + 42x = (6 + 6x) Remove parenthesis around (6 + 6x) 42 + 42x = 6 + 6x Solving 42 + 42x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + 42x + -6x = 6 + 6x + -6x Combine like terms: 42x + -6x = 36x 42 + 36x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + 36x = 6 + 0 42 + 36x = 6 Add '-42' to each side of the equation. 42 + -42 + 36x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 36x = 6 + -42 36x = 6 + -42 Combine like terms: 6 + -42 = -36 36x = -36 Divide each side by '36'. x = -1 Simplifying x = -1
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