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