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Simplifying 7 + 78x = 52x + 18 Reorder the terms: 7 + 78x = 18 + 52x Solving 7 + 78x = 18 + 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. 7 + 78x + -52x = 18 + 52x + -52x Combine like terms: 78x + -52x = 26x 7 + 26x = 18 + 52x + -52x Combine like terms: 52x + -52x = 0 7 + 26x = 18 + 0 7 + 26x = 18 Add '-7' to each side of the equation. 7 + -7 + 26x = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 26x = 18 + -7 26x = 18 + -7 Combine like terms: 18 + -7 = 11 26x = 11 Divide each side by '26'. x = 0.4230769231 Simplifying x = 0.4230769231
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