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Simplifying -52 + -9x = 10x + 24 Reorder the terms: -52 + -9x = 24 + 10x Solving -52 + -9x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -52 + -9x + -10x = 24 + 10x + -10x Combine like terms: -9x + -10x = -19x -52 + -19x = 24 + 10x + -10x Combine like terms: 10x + -10x = 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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