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