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Simplifying 6(2x + 1) = 9(1 + -1x) Reorder the terms: 6(1 + 2x) = 9(1 + -1x) (1 * 6 + 2x * 6) = 9(1 + -1x) (6 + 12x) = 9(1 + -1x) 6 + 12x = (1 * 9 + -1x * 9) 6 + 12x = (9 + -9x) Solving 6 + 12x = 9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6 + 12x + 9x = 9 + -9x + 9x Combine like terms: 12x + 9x = 21x 6 + 21x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 21x = 9 + 0 6 + 21x = 9 Add '-6' to each side of the equation. 6 + -6 + 21x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 21x = 9 + -6 21x = 9 + -6 Combine like terms: 9 + -6 = 3 21x = 3 Divide each side by '21'. x = 0.1428571429 Simplifying x = 0.1428571429
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