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Simplifying 12x + 30 = 6x + 78 Reorder the terms: 30 + 12x = 6x + 78 Reorder the terms: 30 + 12x = 78 + 6x Solving 30 + 12x = 78 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + 12x + -6x = 78 + 6x + -6x Combine like terms: 12x + -6x = 6x 30 + 6x = 78 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 6x = 78 + 0 30 + 6x = 78 Add '-30' to each side of the equation. 30 + -30 + 6x = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 78 + -30 6x = 78 + -30 Combine like terms: 78 + -30 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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