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Simplifying 3(9x + -8) = 21x Reorder the terms: 3(-8 + 9x) = 21x (-8 * 3 + 9x * 3) = 21x (-24 + 27x) = 21x Solving -24 + 27x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -24 + 27x + -21x = 21x + -21x Combine like terms: 27x + -21x = 6x -24 + 6x = 21x + -21x Combine like terms: 21x + -21x = 0 -24 + 6x = 0 Add '24' to each side of the equation. -24 + 24 + 6x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 0 + 24 6x = 0 + 24 Combine like terms: 0 + 24 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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