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Simplifying 7x + -105 = 75 + -5x Reorder the terms: -105 + 7x = 75 + -5x Solving -105 + 7x = 75 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -105 + 7x + 5x = 75 + -5x + 5x Combine like terms: 7x + 5x = 12x -105 + 12x = 75 + -5x + 5x Combine like terms: -5x + 5x = 0 -105 + 12x = 75 + 0 -105 + 12x = 75 Add '105' to each side of the equation. -105 + 105 + 12x = 75 + 105 Combine like terms: -105 + 105 = 0 0 + 12x = 75 + 105 12x = 75 + 105 Combine like terms: 75 + 105 = 180 12x = 180 Divide each side by '12'. x = 15 Simplifying x = 15
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