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Simplifying 8x + 9x + -75 = 100 + -8x Reorder the terms: -75 + 8x + 9x = 100 + -8x Combine like terms: 8x + 9x = 17x -75 + 17x = 100 + -8x Solving -75 + 17x = 100 + -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. -75 + 17x + 8x = 100 + -8x + 8x Combine like terms: 17x + 8x = 25x -75 + 25x = 100 + -8x + 8x Combine like terms: -8x + 8x = 0 -75 + 25x = 100 + 0 -75 + 25x = 100 Add '75' to each side of the equation. -75 + 75 + 25x = 100 + 75 Combine like terms: -75 + 75 = 0 0 + 25x = 100 + 75 25x = 100 + 75 Combine like terms: 100 + 75 = 175 25x = 175 Divide each side by '25'. x = 7 Simplifying x = 7
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