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Simplifying 3(8 + 4x) = 4(9 + 2x) (8 * 3 + 4x * 3) = 4(9 + 2x) (24 + 12x) = 4(9 + 2x) 24 + 12x = (9 * 4 + 2x * 4) 24 + 12x = (36 + 8x) Solving 24 + 12x = 36 + 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 = 36 + 8x + -8x Combine like terms: 12x + -8x = 4x 24 + 4x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 4x = 36 + 0 24 + 4x = 36 Add '-24' to each side of the equation. 24 + -24 + 4x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 36 + -24 4x = 36 + -24 Combine like terms: 36 + -24 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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