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Simplifying 3x + -2 + 6x = 8 + -3x + 2 Reorder the terms: -2 + 3x + 6x = 8 + -3x + 2 Combine like terms: 3x + 6x = 9x -2 + 9x = 8 + -3x + 2 Reorder the terms: -2 + 9x = 8 + 2 + -3x Combine like terms: 8 + 2 = 10 -2 + 9x = 10 + -3x Solving -2 + 9x = 10 + -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 + 9x + 3x = 10 + -3x + 3x Combine like terms: 9x + 3x = 12x -2 + 12x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 12x = 10 + 0 -2 + 12x = 10 Add '2' to each side of the equation. -2 + 2 + 12x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 10 + 2 12x = 10 + 2 Combine like terms: 10 + 2 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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