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Simplifying 3x + -6x + -2 = 2x + 3 Reorder the terms: -2 + 3x + -6x = 2x + 3 Combine like terms: 3x + -6x = -3x -2 + -3x = 2x + 3 Reorder the terms: -2 + -3x = 3 + 2x Solving -2 + -3x = 3 + 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 = 3 + 2x + -2x Combine like terms: -3x + -2x = -5x -2 + -5x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -5x = 3 + 0 -2 + -5x = 3 Add '2' to each side of the equation. -2 + 2 + -5x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 3 + 2 -5x = 3 + 2 Combine like terms: 3 + 2 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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