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Simplifying 25x + 45 + -32x + 55 = -25 + -27x + -75 Reorder the terms: 45 + 55 + 25x + -32x = -25 + -27x + -75 Combine like terms: 45 + 55 = 100 100 + 25x + -32x = -25 + -27x + -75 Combine like terms: 25x + -32x = -7x 100 + -7x = -25 + -27x + -75 Reorder the terms: 100 + -7x = -25 + -75 + -27x Combine like terms: -25 + -75 = -100 100 + -7x = -100 + -27x Solving 100 + -7x = -100 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 100 + -7x + 27x = -100 + -27x + 27x Combine like terms: -7x + 27x = 20x 100 + 20x = -100 + -27x + 27x Combine like terms: -27x + 27x = 0 100 + 20x = -100 + 0 100 + 20x = -100 Add '-100' to each side of the equation. 100 + -100 + 20x = -100 + -100 Combine like terms: 100 + -100 = 0 0 + 20x = -100 + -100 20x = -100 + -100 Combine like terms: -100 + -100 = -200 20x = -200 Divide each side by '20'. x = -10 Simplifying x = -10
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