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Simplifying 100x + 55 = 75x + -34 Reorder the terms: 55 + 100x = 75x + -34 Reorder the terms: 55 + 100x = -34 + 75x Solving 55 + 100x = -34 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 55 + 100x + -75x = -34 + 75x + -75x Combine like terms: 100x + -75x = 25x 55 + 25x = -34 + 75x + -75x Combine like terms: 75x + -75x = 0 55 + 25x = -34 + 0 55 + 25x = -34 Add '-55' to each side of the equation. 55 + -55 + 25x = -34 + -55 Combine like terms: 55 + -55 = 0 0 + 25x = -34 + -55 25x = -34 + -55 Combine like terms: -34 + -55 = -89 25x = -89 Divide each side by '25'. x = -3.56 Simplifying x = -3.56
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