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Simplifying 32x + -20x + 43 = -45x + -25 + 30 Reorder the terms: 43 + 32x + -20x = -45x + -25 + 30 Combine like terms: 32x + -20x = 12x 43 + 12x = -45x + -25 + 30 Reorder the terms: 43 + 12x = -25 + 30 + -45x Combine like terms: -25 + 30 = 5 43 + 12x = 5 + -45x Solving 43 + 12x = 5 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 43 + 12x + 45x = 5 + -45x + 45x Combine like terms: 12x + 45x = 57x 43 + 57x = 5 + -45x + 45x Combine like terms: -45x + 45x = 0 43 + 57x = 5 + 0 43 + 57x = 5 Add '-43' to each side of the equation. 43 + -43 + 57x = 5 + -43 Combine like terms: 43 + -43 = 0 0 + 57x = 5 + -43 57x = 5 + -43 Combine like terms: 5 + -43 = -38 57x = -38 Divide each side by '57'. x = -0.6666666667 Simplifying x = -0.6666666667
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