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Simplifying 2x + -6 = -3x + 6 + -2 Reorder the terms: -6 + 2x = -3x + 6 + -2 Reorder the terms: -6 + 2x = 6 + -2 + -3x Combine like terms: 6 + -2 = 4 -6 + 2x = 4 + -3x Solving -6 + 2x = 4 + -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. -6 + 2x + 3x = 4 + -3x + 3x Combine like terms: 2x + 3x = 5x -6 + 5x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 5x = 4 + 0 -6 + 5x = 4 Add '6' to each side of the equation. -6 + 6 + 5x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 4 + 6 5x = 4 + 6 Combine like terms: 4 + 6 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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