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Simplifying 9x + -2 = 46 + -3x Reorder the terms: -2 + 9x = 46 + -3x Solving -2 + 9x = 46 + -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 = 46 + -3x + 3x Combine like terms: 9x + 3x = 12x -2 + 12x = 46 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 12x = 46 + 0 -2 + 12x = 46 Add '2' to each side of the equation. -2 + 2 + 12x = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 46 + 2 12x = 46 + 2 Combine like terms: 46 + 2 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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