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Simplifying 7x + -27 + 5x + 10 = 100 Reorder the terms: -27 + 10 + 7x + 5x = 100 Combine like terms: -27 + 10 = -17 -17 + 7x + 5x = 100 Combine like terms: 7x + 5x = 12x -17 + 12x = 100 Solving -17 + 12x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 12x = 100 + 17 Combine like terms: -17 + 17 = 0 0 + 12x = 100 + 17 12x = 100 + 17 Combine like terms: 100 + 17 = 117 12x = 117 Divide each side by '12'. x = 9.75 Simplifying x = 9.75
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