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Simplifying 8x + 9x + -100 = 50 + -8x Reorder the terms: -100 + 8x + 9x = 50 + -8x Combine like terms: 8x + 9x = 17x -100 + 17x = 50 + -8x Solving -100 + 17x = 50 + -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. -100 + 17x + 8x = 50 + -8x + 8x Combine like terms: 17x + 8x = 25x -100 + 25x = 50 + -8x + 8x Combine like terms: -8x + 8x = 0 -100 + 25x = 50 + 0 -100 + 25x = 50 Add '100' to each side of the equation. -100 + 100 + 25x = 50 + 100 Combine like terms: -100 + 100 = 0 0 + 25x = 50 + 100 25x = 50 + 100 Combine like terms: 50 + 100 = 150 25x = 150 Divide each side by '25'. x = 6 Simplifying x = 6
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