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Simplifying 6(3x + -4) = 6x + 12 Reorder the terms: 6(-4 + 3x) = 6x + 12 (-4 * 6 + 3x * 6) = 6x + 12 (-24 + 18x) = 6x + 12 Reorder the terms: -24 + 18x = 12 + 6x Solving -24 + 18x = 12 + 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. -24 + 18x + -6x = 12 + 6x + -6x Combine like terms: 18x + -6x = 12x -24 + 12x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 12x = 12 + 0 -24 + 12x = 12 Add '24' to each side of the equation. -24 + 24 + 12x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 12 + 24 12x = 12 + 24 Combine like terms: 12 + 24 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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