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Simplifying 3(8 + 2x) = 4(8 + 3x) (8 * 3 + 2x * 3) = 4(8 + 3x) (24 + 6x) = 4(8 + 3x) 24 + 6x = (8 * 4 + 3x * 4) 24 + 6x = (32 + 12x) Solving 24 + 6x = 32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 6x + -12x = 32 + 12x + -12x Combine like terms: 6x + -12x = -6x 24 + -6x = 32 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -6x = 32 + 0 24 + -6x = 32 Add '-24' to each side of the equation. 24 + -24 + -6x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 32 + -24 -6x = 32 + -24 Combine like terms: 32 + -24 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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