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Simplifying 2x + -6 + 7x = 9 + -3x + 8 Reorder the terms: -6 + 2x + 7x = 9 + -3x + 8 Combine like terms: 2x + 7x = 9x -6 + 9x = 9 + -3x + 8 Reorder the terms: -6 + 9x = 9 + 8 + -3x Combine like terms: 9 + 8 = 17 -6 + 9x = 17 + -3x Solving -6 + 9x = 17 + -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 + 9x + 3x = 17 + -3x + 3x Combine like terms: 9x + 3x = 12x -6 + 12x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 12x = 17 + 0 -6 + 12x = 17 Add '6' to each side of the equation. -6 + 6 + 12x = 17 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 17 + 6 12x = 17 + 6 Combine like terms: 17 + 6 = 23 12x = 23 Divide each side by '12'. x = 1.916666667 Simplifying x = 1.916666667
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