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Simplifying 52 + x = -5x + -32 Reorder the terms: 52 + x = -32 + -5x Solving 52 + x = -32 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 52 + x + 5x = -32 + -5x + 5x Combine like terms: x + 5x = 6x 52 + 6x = -32 + -5x + 5x Combine like terms: -5x + 5x = 0 52 + 6x = -32 + 0 52 + 6x = -32 Add '-52' to each side of the equation. 52 + -52 + 6x = -32 + -52 Combine like terms: 52 + -52 = 0 0 + 6x = -32 + -52 6x = -32 + -52 Combine like terms: -32 + -52 = -84 6x = -84 Divide each side by '6'. x = -14 Simplifying x = -14
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