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Simplifying 7(3x + 11) = 9(3 + -6x) Reorder the terms: 7(11 + 3x) = 9(3 + -6x) (11 * 7 + 3x * 7) = 9(3 + -6x) (77 + 21x) = 9(3 + -6x) 77 + 21x = (3 * 9 + -6x * 9) 77 + 21x = (27 + -54x) Solving 77 + 21x = 27 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. 77 + 21x + 54x = 27 + -54x + 54x Combine like terms: 21x + 54x = 75x 77 + 75x = 27 + -54x + 54x Combine like terms: -54x + 54x = 0 77 + 75x = 27 + 0 77 + 75x = 27 Add '-77' to each side of the equation. 77 + -77 + 75x = 27 + -77 Combine like terms: 77 + -77 = 0 0 + 75x = 27 + -77 75x = 27 + -77 Combine like terms: 27 + -77 = -50 75x = -50 Divide each side by '75'. x = -0.6666666667 Simplifying x = -0.6666666667
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