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Simplifying 6(2x + 4) + -8x = 32 Reorder the terms: 6(4 + 2x) + -8x = 32 (4 * 6 + 2x * 6) + -8x = 32 (24 + 12x) + -8x = 32 Combine like terms: 12x + -8x = 4x 24 + 4x = 32 Solving 24 + 4x = 32 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 = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 32 + -24 4x = 32 + -24 Combine like terms: 32 + -24 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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