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Simplifying 78 = 6x + 6x + -6 Reorder the terms: 78 = -6 + 6x + 6x Combine like terms: 6x + 6x = 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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