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Simplifying 8x + 9x + -50 = 75 + -8x Reorder the terms: -50 + 8x + 9x = 75 + -8x Combine like terms: 8x + 9x = 17x -50 + 17x = 75 + -8x Solving -50 + 17x = 75 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -50 + 17x + 8x = 75 + -8x + 8x Combine like terms: 17x + 8x = 25x -50 + 25x = 75 + -8x + 8x Combine like terms: -8x + 8x = 0 -50 + 25x = 75 + 0 -50 + 25x = 75 Add '50' to each side of the equation. -50 + 50 + 25x = 75 + 50 Combine like terms: -50 + 50 = 0 0 + 25x = 75 + 50 25x = 75 + 50 Combine like terms: 75 + 50 = 125 25x = 125 Divide each side by '25'. x = 5 Simplifying x = 5
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