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Simplifying 3(4x + -8) = 3x + -6 Reorder the terms: 3(-8 + 4x) = 3x + -6 (-8 * 3 + 4x * 3) = 3x + -6 (-24 + 12x) = 3x + -6 Reorder the terms: -24 + 12x = -6 + 3x Solving -24 + 12x = -6 + 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 + 12x + -3x = -6 + 3x + -3x Combine like terms: 12x + -3x = 9x -24 + 9x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 9x = -6 + 0 -24 + 9x = -6 Add '24' to each side of the equation. -24 + 24 + 9x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = -6 + 24 9x = -6 + 24 Combine like terms: -6 + 24 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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