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Simplifying 6(2x + -4) = 4(2x + 8) Reorder the terms: 6(-4 + 2x) = 4(2x + 8) (-4 * 6 + 2x * 6) = 4(2x + 8) (-24 + 12x) = 4(2x + 8) Reorder the terms: -24 + 12x = 4(8 + 2x) -24 + 12x = (8 * 4 + 2x * 4) -24 + 12x = (32 + 8x) Solving -24 + 12x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 12x + -8x = 32 + 8x + -8x Combine like terms: 12x + -8x = 4x -24 + 4x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 4x = 32 + 0 -24 + 4x = 32 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 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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