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Simplifying 6(2x + -3) + -2x = 12 Reorder the terms: 6(-3 + 2x) + -2x = 12 (-3 * 6 + 2x * 6) + -2x = 12 (-18 + 12x) + -2x = 12 Combine like terms: 12x + -2x = 10x -18 + 10x = 12 Solving -18 + 10x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 10x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 12 + 18 10x = 12 + 18 Combine like terms: 12 + 18 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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