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Simplifying 6(x + 4) = 3(4x + -2) Reorder the terms: 6(4 + x) = 3(4x + -2) (4 * 6 + x * 6) = 3(4x + -2) (24 + 6x) = 3(4x + -2) Reorder the terms: 24 + 6x = 3(-2 + 4x) 24 + 6x = (-2 * 3 + 4x * 3) 24 + 6x = (-6 + 12x) Solving 24 + 6x = -6 + 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 = -6 + 12x + -12x Combine like terms: 6x + -12x = -6x 24 + -6x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -6x = -6 + 0 24 + -6x = -6 Add '-24' to each side of the equation. 24 + -24 + -6x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -6 + -24 -6x = -6 + -24 Combine like terms: -6 + -24 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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