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Simplifying 7(3x + 6) + (x + 2) = 1 Reorder the terms: 7(6 + 3x) + (x + 2) = 1 (6 * 7 + 3x * 7) + (x + 2) = 1 (42 + 21x) + (x + 2) = 1 Reorder the terms: 42 + 21x + (2 + x) = 1 Remove parenthesis around (2 + x) 42 + 21x + 2 + x = 1 Reorder the terms: 42 + 2 + 21x + x = 1 Combine like terms: 42 + 2 = 44 44 + 21x + x = 1 Combine like terms: 21x + x = 22x 44 + 22x = 1 Solving 44 + 22x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 22x = 1 + -44 Combine like terms: 44 + -44 = 0 0 + 22x = 1 + -44 22x = 1 + -44 Combine like terms: 1 + -44 = -43 22x = -43 Divide each side by '22'. x = -1.954545455 Simplifying x = -1.954545455
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