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Simplifying 4(1 + -3x) = 9(3 + x) (1 * 4 + -3x * 4) = 9(3 + x) (4 + -12x) = 9(3 + x) 4 + -12x = (3 * 9 + x * 9) 4 + -12x = (27 + 9x) Solving 4 + -12x = 27 + 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. 4 + -12x + -9x = 27 + 9x + -9x Combine like terms: -12x + -9x = -21x 4 + -21x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -21x = 27 + 0 4 + -21x = 27 Add '-4' to each side of the equation. 4 + -4 + -21x = 27 + -4 Combine like terms: 4 + -4 = 0 0 + -21x = 27 + -4 -21x = 27 + -4 Combine like terms: 27 + -4 = 23 -21x = 23 Divide each side by '-21'. x = -1.095238095 Simplifying x = -1.095238095
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