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Simplifying 6x + 12 + -9x = 32 + 5x Reorder the terms: 12 + 6x + -9x = 32 + 5x Combine like terms: 6x + -9x = -3x 12 + -3x = 32 + 5x Solving 12 + -3x = 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. 12 + -3x + -5x = 32 + 5x + -5x Combine like terms: -3x + -5x = -8x 12 + -8x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -8x = 32 + 0 12 + -8x = 32 Add '-12' to each side of the equation. 12 + -12 + -8x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 32 + -12 -8x = 32 + -12 Combine like terms: 32 + -12 = 20 -8x = 20 Divide each side by '-8'. x = -2.5 Simplifying x = -2.5
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