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Simplifying 7x + -126 = 78 + -5x Reorder the terms: -126 + 7x = 78 + -5x Solving -126 + 7x = 78 + -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. -126 + 7x + 5x = 78 + -5x + 5x Combine like terms: 7x + 5x = 12x -126 + 12x = 78 + -5x + 5x Combine like terms: -5x + 5x = 0 -126 + 12x = 78 + 0 -126 + 12x = 78 Add '126' to each side of the equation. -126 + 126 + 12x = 78 + 126 Combine like terms: -126 + 126 = 0 0 + 12x = 78 + 126 12x = 78 + 126 Combine like terms: 78 + 126 = 204 12x = 204 Divide each side by '12'. x = 17 Simplifying x = 17
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