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Simplifying 4(3x + 2) = 3(2x + -8) Reorder the terms: 4(2 + 3x) = 3(2x + -8) (2 * 4 + 3x * 4) = 3(2x + -8) (8 + 12x) = 3(2x + -8) Reorder the terms: 8 + 12x = 3(-8 + 2x) 8 + 12x = (-8 * 3 + 2x * 3) 8 + 12x = (-24 + 6x) Solving 8 + 12x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 12x + -6x = -24 + 6x + -6x Combine like terms: 12x + -6x = 6x 8 + 6x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 6x = -24 + 0 8 + 6x = -24 Add '-8' to each side of the equation. 8 + -8 + 6x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -24 + -8 6x = -24 + -8 Combine like terms: -24 + -8 = -32 6x = -32 Divide each side by '6'. x = -5.333333333 Simplifying x = -5.333333333
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