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Simplifying -52 + -10x = 9x + 24 Reorder the terms: -52 + -10x = 24 + 9x Solving -52 + -10x = 24 + 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 + -10x + -9x = 24 + 9x + -9x Combine like terms: -10x + -9x = -19x -52 + -19x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 -52 + -19x = 24 + 0 -52 + -19x = 24 Add '52' to each side of the equation. -52 + 52 + -19x = 24 + 52 Combine like terms: -52 + 52 = 0 0 + -19x = 24 + 52 -19x = 24 + 52 Combine like terms: 24 + 52 = 76 -19x = 76 Divide each side by '-19'. x = -4 Simplifying x = -4
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