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Simplifying 6(2x + 4) = 8(x + 4) Reorder the terms: 6(4 + 2x) = 8(x + 4) (4 * 6 + 2x * 6) = 8(x + 4) (24 + 12x) = 8(x + 4) Reorder the terms: 24 + 12x = 8(4 + x) 24 + 12x = (4 * 8 + x * 8) 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 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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