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Simplifying 3x + -2 = -4x + 12 Reorder the terms: -2 + 3x = -4x + 12 Reorder the terms: -2 + 3x = 12 + -4x Solving -2 + 3x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 3x + 4x = 12 + -4x + 4x Combine like terms: 3x + 4x = 7x -2 + 7x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 7x = 12 + 0 -2 + 7x = 12 Add '2' to each side of the equation. -2 + 2 + 7x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 12 + 2 7x = 12 + 2 Combine like terms: 12 + 2 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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