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Simplifying 7x + 9x + -50 = 100 + -9x Reorder the terms: -50 + 7x + 9x = 100 + -9x Combine like terms: 7x + 9x = 16x -50 + 16x = 100 + -9x Solving -50 + 16x = 100 + -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. -50 + 16x + 9x = 100 + -9x + 9x Combine like terms: 16x + 9x = 25x -50 + 25x = 100 + -9x + 9x Combine like terms: -9x + 9x = 0 -50 + 25x = 100 + 0 -50 + 25x = 100 Add '50' to each side of the equation. -50 + 50 + 25x = 100 + 50 Combine like terms: -50 + 50 = 0 0 + 25x = 100 + 50 25x = 100 + 50 Combine like terms: 100 + 50 = 150 25x = 150 Divide each side by '25'. x = 6 Simplifying x = 6
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