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Simplifying 45x + -105 + 30 + -50x = 15 + -30x Reorder the terms: -105 + 30 + 45x + -50x = 15 + -30x Combine like terms: -105 + 30 = -75 -75 + 45x + -50x = 15 + -30x Combine like terms: 45x + -50x = -5x -75 + -5x = 15 + -30x Solving -75 + -5x = 15 + -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. -75 + -5x + 30x = 15 + -30x + 30x Combine like terms: -5x + 30x = 25x -75 + 25x = 15 + -30x + 30x Combine like terms: -30x + 30x = 0 -75 + 25x = 15 + 0 -75 + 25x = 15 Add '75' to each side of the equation. -75 + 75 + 25x = 15 + 75 Combine like terms: -75 + 75 = 0 0 + 25x = 15 + 75 25x = 15 + 75 Combine like terms: 15 + 75 = 90 25x = 90 Divide each side by '25'. x = 3.6 Simplifying x = 3.6
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