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Simplifying -52 + -9x = 8x + 15 Reorder the terms: -52 + -9x = 15 + 8x Solving -52 + -9x = 15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -52 + -9x + -8x = 15 + 8x + -8x Combine like terms: -9x + -8x = -17x -52 + -17x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 -52 + -17x = 15 + 0 -52 + -17x = 15 Add '52' to each side of the equation. -52 + 52 + -17x = 15 + 52 Combine like terms: -52 + 52 = 0 0 + -17x = 15 + 52 -17x = 15 + 52 Combine like terms: 15 + 52 = 67 -17x = 67 Divide each side by '-17'. x = -3.941176471 Simplifying x = -3.941176471
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