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Simplifying -32x + 43 + -20x = -25 + 30 + -45x Reorder the terms: 43 + -32x + -20x = -25 + 30 + -45x Combine like terms: -32x + -20x = -52x 43 + -52x = -25 + 30 + -45x Combine like terms: -25 + 30 = 5 43 + -52x = 5 + -45x Solving 43 + -52x = 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 + -52x + 45x = 5 + -45x + 45x Combine like terms: -52x + 45x = -7x 43 + -7x = 5 + -45x + 45x Combine like terms: -45x + 45x = 0 43 + -7x = 5 + 0 43 + -7x = 5 Add '-43' to each side of the equation. 43 + -43 + -7x = 5 + -43 Combine like terms: 43 + -43 = 0 0 + -7x = 5 + -43 -7x = 5 + -43 Combine like terms: 5 + -43 = -38 -7x = -38 Divide each side by '-7'. x = 5.428571429 Simplifying x = 5.428571429
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