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Simplifying 5x + 7 + -8x + -9 = -3x + 2 + -2x Reorder the terms: 7 + -9 + 5x + -8x = -3x + 2 + -2x Combine like terms: 7 + -9 = -2 -2 + 5x + -8x = -3x + 2 + -2x Combine like terms: 5x + -8x = -3x -2 + -3x = -3x + 2 + -2x Reorder the terms: -2 + -3x = 2 + -3x + -2x Combine like terms: -3x + -2x = -5x -2 + -3x = 2 + -5x Solving -2 + -3x = 2 + -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 = 2 + -5x + 5x Combine like terms: -3x + 5x = 2x -2 + 2x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 2x = 2 + 0 -2 + 2x = 2 Add '2' to each side of the equation. -2 + 2 + 2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 2 + 2 2x = 2 + 2 Combine like terms: 2 + 2 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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