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Simplifying 3(4x + 3(x + -2)) = 24 Reorder the terms: 3(4x + 3(-2 + x)) = 24 3(4x + (-2 * 3 + x * 3)) = 24 3(4x + (-6 + 3x)) = 24 Reorder the terms: 3(-6 + 4x + 3x) = 24 Combine like terms: 4x + 3x = 7x 3(-6 + 7x) = 24 (-6 * 3 + 7x * 3) = 24 (-18 + 21x) = 24 Solving -18 + 21x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 21x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 21x = 24 + 18 21x = 24 + 18 Combine like terms: 24 + 18 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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