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Simplifying -52 + -3x = -10x + 32 Reorder the terms: -52 + -3x = 32 + -10x Solving -52 + -3x = 32 + -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 + -3x + 10x = 32 + -10x + 10x Combine like terms: -3x + 10x = 7x -52 + 7x = 32 + -10x + 10x Combine like terms: -10x + 10x = 0 -52 + 7x = 32 + 0 -52 + 7x = 32 Add '52' to each side of the equation. -52 + 52 + 7x = 32 + 52 Combine like terms: -52 + 52 = 0 0 + 7x = 32 + 52 7x = 32 + 52 Combine like terms: 32 + 52 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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