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Simplifying 75x + -1 = 30x + 89 Reorder the terms: -1 + 75x = 30x + 89 Reorder the terms: -1 + 75x = 89 + 30x Solving -1 + 75x = 89 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -1 + 75x + -30x = 89 + 30x + -30x Combine like terms: 75x + -30x = 45x -1 + 45x = 89 + 30x + -30x Combine like terms: 30x + -30x = 0 -1 + 45x = 89 + 0 -1 + 45x = 89 Add '1' to each side of the equation. -1 + 1 + 45x = 89 + 1 Combine like terms: -1 + 1 = 0 0 + 45x = 89 + 1 45x = 89 + 1 Combine like terms: 89 + 1 = 90 45x = 90 Divide each side by '45'. x = 2 Simplifying x = 2
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