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Simplifying 6 + 78x = 52x + 12 Reorder the terms: 6 + 78x = 12 + 52x Solving 6 + 78x = 12 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 6 + 78x + -52x = 12 + 52x + -52x Combine like terms: 78x + -52x = 26x 6 + 26x = 12 + 52x + -52x Combine like terms: 52x + -52x = 0 6 + 26x = 12 + 0 6 + 26x = 12 Add '-6' to each side of the equation. 6 + -6 + 26x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 26x = 12 + -6 26x = 12 + -6 Combine like terms: 12 + -6 = 6 26x = 6 Divide each side by '26'. x = 0.2307692308 Simplifying x = 0.2307692308
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