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