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Simplifying 8x + -9 + -5x + 6 = 3x + 2 + 2x + -8 Reorder the terms: -9 + 6 + 8x + -5x = 3x + 2 + 2x + -8 Combine like terms: -9 + 6 = -3 -3 + 8x + -5x = 3x + 2 + 2x + -8 Combine like terms: 8x + -5x = 3x -3 + 3x = 3x + 2 + 2x + -8 Reorder the terms: -3 + 3x = 2 + -8 + 3x + 2x Combine like terms: 2 + -8 = -6 -3 + 3x = -6 + 3x + 2x Combine like terms: 3x + 2x = 5x -3 + 3x = -6 + 5x Solving -3 + 3x = -6 + 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. -3 + 3x + -5x = -6 + 5x + -5x Combine like terms: 3x + -5x = -2x -3 + -2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -2x = -6 + 0 -3 + -2x = -6 Add '3' to each side of the equation. -3 + 3 + -2x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -6 + 3 -2x = -6 + 3 Combine like terms: -6 + 3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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