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Simplifying 3x + -2 = -7x + 9 + 2x Reorder the terms: -2 + 3x = -7x + 9 + 2x Reorder the terms: -2 + 3x = 9 + -7x + 2x Combine like terms: -7x + 2x = -5x -2 + 3x = 9 + -5x Solving -2 + 3x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + 3x + 5x = 9 + -5x + 5x Combine like terms: 3x + 5x = 8x -2 + 8x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 8x = 9 + 0 -2 + 8x = 9 Add '2' to each side of the equation. -2 + 2 + 8x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 9 + 2 8x = 9 + 2 Combine like terms: 9 + 2 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375
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