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Simplifying 12x + -6 = 3(2x + 2) Reorder the terms: -6 + 12x = 3(2x + 2) Reorder the terms: -6 + 12x = 3(2 + 2x) -6 + 12x = (2 * 3 + 2x * 3) -6 + 12x = (6 + 6x) Solving -6 + 12x = 6 + 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. -6 + 12x + -6x = 6 + 6x + -6x Combine like terms: 12x + -6x = 6x -6 + 6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 6x = 6 + 0 -6 + 6x = 6 Add '6' to each side of the equation. -6 + 6 + 6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 6 + 6 6x = 6 + 6 Combine like terms: 6 + 6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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