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Simplifying 3(1 + -3x) = 3(4x + 5) (1 * 3 + -3x * 3) = 3(4x + 5) (3 + -9x) = 3(4x + 5) Reorder the terms: 3 + -9x = 3(5 + 4x) 3 + -9x = (5 * 3 + 4x * 3) 3 + -9x = (15 + 12x) Solving 3 + -9x = 15 + 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. 3 + -9x + -12x = 15 + 12x + -12x Combine like terms: -9x + -12x = -21x 3 + -21x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -21x = 15 + 0 3 + -21x = 15 Add '-3' to each side of the equation. 3 + -3 + -21x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -21x = 15 + -3 -21x = 15 + -3 Combine like terms: 15 + -3 = 12 -21x = 12 Divide each side by '-21'. x = -0.5714285714 Simplifying x = -0.5714285714
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