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Simplifying 6(8x + -4) = 12x + 24 Reorder the terms: 6(-4 + 8x) = 12x + 24 (-4 * 6 + 8x * 6) = 12x + 24 (-24 + 48x) = 12x + 24 Reorder the terms: -24 + 48x = 24 + 12x Solving -24 + 48x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + 48x + -12x = 24 + 12x + -12x Combine like terms: 48x + -12x = 36x -24 + 36x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + 36x = 24 + 0 -24 + 36x = 24 Add '24' to each side of the equation. -24 + 24 + 36x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 36x = 24 + 24 36x = 24 + 24 Combine like terms: 24 + 24 = 48 36x = 48 Divide each side by '36'. x = 1.333333333 Simplifying x = 1.333333333
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