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Simplifying 8x + 32 + -43x = 77 + -12x Reorder the terms: 32 + 8x + -43x = 77 + -12x Combine like terms: 8x + -43x = -35x 32 + -35x = 77 + -12x Solving 32 + -35x = 77 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 32 + -35x + 12x = 77 + -12x + 12x Combine like terms: -35x + 12x = -23x 32 + -23x = 77 + -12x + 12x Combine like terms: -12x + 12x = 0 32 + -23x = 77 + 0 32 + -23x = 77 Add '-32' to each side of the equation. 32 + -32 + -23x = 77 + -32 Combine like terms: 32 + -32 = 0 0 + -23x = 77 + -32 -23x = 77 + -32 Combine like terms: 77 + -32 = 45 -23x = 45 Divide each side by '-23'. x = -1.956521739 Simplifying x = -1.956521739
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