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Simplifying 3(2x + 4(x + -2)) = 12 Reorder the terms: 3(2x + 4(-2 + x)) = 12 3(2x + (-2 * 4 + x * 4)) = 12 3(2x + (-8 + 4x)) = 12 Reorder the terms: 3(-8 + 2x + 4x) = 12 Combine like terms: 2x + 4x = 6x 3(-8 + 6x) = 12 (-8 * 3 + 6x * 3) = 12 (-24 + 18x) = 12 Solving -24 + 18x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 18x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 18x = 12 + 24 18x = 12 + 24 Combine like terms: 12 + 24 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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