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Simplifying 3(2x + -8) = 9x + -12 + -6x Reorder the terms: 3(-8 + 2x) = 9x + -12 + -6x (-8 * 3 + 2x * 3) = 9x + -12 + -6x (-24 + 6x) = 9x + -12 + -6x Reorder the terms: -24 + 6x = -12 + 9x + -6x Combine like terms: 9x + -6x = 3x -24 + 6x = -12 + 3x Solving -24 + 6x = -12 + 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. -24 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x -24 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 3x = -12 + 0 -24 + 3x = -12 Add '24' to each side of the equation. -24 + 24 + 3x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -12 + 24 3x = -12 + 24 Combine like terms: -12 + 24 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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