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Simplifying -78 = 5x + 7x + 6 Reorder the terms: -78 = 6 + 5x + 7x Combine like terms: 5x + 7x = 12x -78 = 6 + 12x Solving -78 = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -78 + -12x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -78 + -12x = 6 + 0 -78 + -12x = 6 Add '78' to each side of the equation. -78 + 78 + -12x = 6 + 78 Combine like terms: -78 + 78 = 0 0 + -12x = 6 + 78 -12x = 6 + 78 Combine like terms: 6 + 78 = 84 -12x = 84 Divide each side by '-12'. x = -7 Simplifying x = -7
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