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Simplifying -78 + 7x = -5x + 54 Reorder the terms: -78 + 7x = 54 + -5x Solving -78 + 7x = 54 + -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. -78 + 7x + 5x = 54 + -5x + 5x Combine like terms: 7x + 5x = 12x -78 + 12x = 54 + -5x + 5x Combine like terms: -5x + 5x = 0 -78 + 12x = 54 + 0 -78 + 12x = 54 Add '78' to each side of the equation. -78 + 78 + 12x = 54 + 78 Combine like terms: -78 + 78 = 0 0 + 12x = 54 + 78 12x = 54 + 78 Combine like terms: 54 + 78 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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