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Simplifying 3(3x + -2) = 6(5x + 4) Reorder the terms: 3(-2 + 3x) = 6(5x + 4) (-2 * 3 + 3x * 3) = 6(5x + 4) (-6 + 9x) = 6(5x + 4) Reorder the terms: -6 + 9x = 6(4 + 5x) -6 + 9x = (4 * 6 + 5x * 6) -6 + 9x = (24 + 30x) Solving -6 + 9x = 24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -6 + 9x + -30x = 24 + 30x + -30x Combine like terms: 9x + -30x = -21x -6 + -21x = 24 + 30x + -30x Combine like terms: 30x + -30x = 0 -6 + -21x = 24 + 0 -6 + -21x = 24 Add '6' to each side of the equation. -6 + 6 + -21x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -21x = 24 + 6 -21x = 24 + 6 Combine like terms: 24 + 6 = 30 -21x = 30 Divide each side by '-21'. x = -1.428571429 Simplifying x = -1.428571429
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