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Simplifying -32 + -1x = 5x + 46 Reorder the terms: -32 + -1x = 46 + 5x Solving -32 + -1x = 46 + 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. -32 + -1x + -5x = 46 + 5x + -5x Combine like terms: -1x + -5x = -6x -32 + -6x = 46 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + -6x = 46 + 0 -32 + -6x = 46 Add '32' to each side of the equation. -32 + 32 + -6x = 46 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = 46 + 32 -6x = 46 + 32 Combine like terms: 46 + 32 = 78 -6x = 78 Divide each side by '-6'. x = -13 Simplifying x = -13
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