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