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Simplifying 7x + 9x + -100 = 75 + -9x Reorder the terms: -100 + 7x + 9x = 75 + -9x Combine like terms: 7x + 9x = 16x -100 + 16x = 75 + -9x Solving -100 + 16x = 75 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -100 + 16x + 9x = 75 + -9x + 9x Combine like terms: 16x + 9x = 25x -100 + 25x = 75 + -9x + 9x Combine like terms: -9x + 9x = 0 -100 + 25x = 75 + 0 -100 + 25x = 75 Add '100' to each side of the equation. -100 + 100 + 25x = 75 + 100 Combine like terms: -100 + 100 = 0 0 + 25x = 75 + 100 25x = 75 + 100 Combine like terms: 75 + 100 = 175 25x = 175 Divide each side by '25'. x = 7 Simplifying x = 7
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