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Simplifying -3x + -8 + 7x = 34 + 9x + -2 Reorder the terms: -8 + -3x + 7x = 34 + 9x + -2 Combine like terms: -3x + 7x = 4x -8 + 4x = 34 + 9x + -2 Reorder the terms: -8 + 4x = 34 + -2 + 9x Combine like terms: 34 + -2 = 32 -8 + 4x = 32 + 9x Solving -8 + 4x = 32 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 4x + -9x = 32 + 9x + -9x Combine like terms: 4x + -9x = -5x -8 + -5x = 32 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -5x = 32 + 0 -8 + -5x = 32 Add '8' to each side of the equation. -8 + 8 + -5x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 32 + 8 -5x = 32 + 8 Combine like terms: 32 + 8 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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