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Simplifying -2x + -52 = 9x + -78 Reorder the terms: -52 + -2x = 9x + -78 Reorder the terms: -52 + -2x = -78 + 9x Solving -52 + -2x = -78 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -52 + -2x + -9x = -78 + 9x + -9x Combine like terms: -2x + -9x = -11x -52 + -11x = -78 + 9x + -9x Combine like terms: 9x + -9x = 0 -52 + -11x = -78 + 0 -52 + -11x = -78 Add '52' to each side of the equation. -52 + 52 + -11x = -78 + 52 Combine like terms: -52 + 52 = 0 0 + -11x = -78 + 52 -11x = -78 + 52 Combine like terms: -78 + 52 = -26 -11x = -26 Divide each side by '-11'. x = 2.363636364 Simplifying x = 2.363636364
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