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Simplifying 58x + 52 = 78x + -78 Reorder the terms: 52 + 58x = 78x + -78 Reorder the terms: 52 + 58x = -78 + 78x Solving 52 + 58x = -78 + 78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78x' to each side of the equation. 52 + 58x + -78x = -78 + 78x + -78x Combine like terms: 58x + -78x = -20x 52 + -20x = -78 + 78x + -78x Combine like terms: 78x + -78x = 0 52 + -20x = -78 + 0 52 + -20x = -78 Add '-52' to each side of the equation. 52 + -52 + -20x = -78 + -52 Combine like terms: 52 + -52 = 0 0 + -20x = -78 + -52 -20x = -78 + -52 Combine like terms: -78 + -52 = -130 -20x = -130 Divide each side by '-20'. x = 6.5 Simplifying x = 6.5
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