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Simplifying -3x + 2 = 2x + 12 Reorder the terms: 2 + -3x = 2x + 12 Reorder the terms: 2 + -3x = 12 + 2x Solving 2 + -3x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + -3x + -2x = 12 + 2x + -2x Combine like terms: -3x + -2x = -5x 2 + -5x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -5x = 12 + 0 2 + -5x = 12 Add '-2' to each side of the equation. 2 + -2 + -5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 12 + -2 -5x = 12 + -2 Combine like terms: 12 + -2 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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