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Simplifying -2x + -6 + 4 = 3x + 12 + 2 Reorder the terms: -6 + 4 + -2x = 3x + 12 + 2 Combine like terms: -6 + 4 = -2 -2 + -2x = 3x + 12 + 2 Reorder the terms: -2 + -2x = 12 + 2 + 3x Combine like terms: 12 + 2 = 14 -2 + -2x = 14 + 3x Solving -2 + -2x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -2x + -3x = 14 + 3x + -3x Combine like terms: -2x + -3x = -5x -2 + -5x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -5x = 14 + 0 -2 + -5x = 14 Add '2' to each side of the equation. -2 + 2 + -5x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 14 + 2 -5x = 14 + 2 Combine like terms: 14 + 2 = 16 -5x = 16 Divide each side by '-5'. x = -3.2 Simplifying x = -3.2
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