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Simplifying 6(x + -4) = 3x + 12 Reorder the terms: 6(-4 + x) = 3x + 12 (-4 * 6 + x * 6) = 3x + 12 (-24 + 6x) = 3x + 12 Reorder the terms: -24 + 6x = 12 + 3x Solving -24 + 6x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 6x + -3x = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x -24 + 3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 3x = 12 + 0 -24 + 3x = 12 Add '24' to each side of the equation. -24 + 24 + 3x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = 12 + 24 3x = 12 + 24 Combine like terms: 12 + 24 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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