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Simplifying 6x + 78 = 12x + 12 Reorder the terms: 78 + 6x = 12x + 12 Reorder the terms: 78 + 6x = 12 + 12x Solving 78 + 6x = 12 + 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 + 6x + -12x = 12 + 12x + -12x Combine like terms: 6x + -12x = -6x 78 + -6x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 78 + -6x = 12 + 0 78 + -6x = 12 Add '-78' to each side of the equation. 78 + -78 + -6x = 12 + -78 Combine like terms: 78 + -78 = 0 0 + -6x = 12 + -78 -6x = 12 + -78 Combine like terms: 12 + -78 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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