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Simplifying 9 + -1(9x + -6) = 3(4x + 6) Reorder the terms: 9 + -1(-6 + 9x) = 3(4x + 6) 9 + (-6 * -1 + 9x * -1) = 3(4x + 6) 9 + (6 + -9x) = 3(4x + 6) Combine like terms: 9 + 6 = 15 15 + -9x = 3(4x + 6) Reorder the terms: 15 + -9x = 3(6 + 4x) 15 + -9x = (6 * 3 + 4x * 3) 15 + -9x = (18 + 12x) Solving 15 + -9x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + -9x + -12x = 18 + 12x + -12x Combine like terms: -9x + -12x = -21x 15 + -21x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -21x = 18 + 0 15 + -21x = 18 Add '-15' to each side of the equation. 15 + -15 + -21x = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -21x = 18 + -15 -21x = 18 + -15 Combine like terms: 18 + -15 = 3 -21x = 3 Divide each side by '-21'. x = -0.1428571429 Simplifying x = -0.1428571429
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