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Simplifying 9(3x + -8) = 3(7x + -8) Reorder the terms: 9(-8 + 3x) = 3(7x + -8) (-8 * 9 + 3x * 9) = 3(7x + -8) (-72 + 27x) = 3(7x + -8) Reorder the terms: -72 + 27x = 3(-8 + 7x) -72 + 27x = (-8 * 3 + 7x * 3) -72 + 27x = (-24 + 21x) Solving -72 + 27x = -24 + 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. -72 + 27x + -21x = -24 + 21x + -21x Combine like terms: 27x + -21x = 6x -72 + 6x = -24 + 21x + -21x Combine like terms: 21x + -21x = 0 -72 + 6x = -24 + 0 -72 + 6x = -24 Add '72' to each side of the equation. -72 + 72 + 6x = -24 + 72 Combine like terms: -72 + 72 = 0 0 + 6x = -24 + 72 6x = -24 + 72 Combine like terms: -24 + 72 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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