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Simplifying 7x + -27 = -32 + 2x Reorder the terms: -27 + 7x = -32 + 2x Solving -27 + 7x = -32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -27 + 7x + -2x = -32 + 2x + -2x Combine like terms: 7x + -2x = 5x -27 + 5x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 5x = -32 + 0 -27 + 5x = -32 Add '27' to each side of the equation. -27 + 27 + 5x = -32 + 27 Combine like terms: -27 + 27 = 0 0 + 5x = -32 + 27 5x = -32 + 27 Combine like terms: -32 + 27 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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