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Simplifying 3x + -5 + 7x = 6 + -2x Reorder the terms: -5 + 3x + 7x = 6 + -2x Combine like terms: 3x + 7x = 10x -5 + 10x = 6 + -2x Solving -5 + 10x = 6 + -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. -5 + 10x + 2x = 6 + -2x + 2x Combine like terms: 10x + 2x = 12x -5 + 12x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 12x = 6 + 0 -5 + 12x = 6 Add '5' to each side of the equation. -5 + 5 + 12x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 6 + 5 12x = 6 + 5 Combine like terms: 6 + 5 = 11 12x = 11 Divide each side by '12'. x = 0.9166666667 Simplifying x = 0.9166666667
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