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Simplifying 3(3x + -2) = -3x + 24 Reorder the terms: 3(-2 + 3x) = -3x + 24 (-2 * 3 + 3x * 3) = -3x + 24 (-6 + 9x) = -3x + 24 Reorder the terms: -6 + 9x = 24 + -3x Solving -6 + 9x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 9x + 3x = 24 + -3x + 3x Combine like terms: 9x + 3x = 12x -6 + 12x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 12x = 24 + 0 -6 + 12x = 24 Add '6' to each side of the equation. -6 + 6 + 12x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 24 + 6 12x = 24 + 6 Combine like terms: 24 + 6 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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