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Simplifying 2x + -9x + 8 = 5x + 32 Reorder the terms: 8 + 2x + -9x = 5x + 32 Combine like terms: 2x + -9x = -7x 8 + -7x = 5x + 32 Reorder the terms: 8 + -7x = 32 + 5x Solving 8 + -7x = 32 + 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. 8 + -7x + -5x = 32 + 5x + -5x Combine like terms: -7x + -5x = -12x 8 + -12x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -12x = 32 + 0 8 + -12x = 32 Add '-8' to each side of the equation. 8 + -8 + -12x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = 32 + -8 -12x = 32 + -8 Combine like terms: 32 + -8 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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