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Simplifying -1x + -27 = 45 + -7x Reorder the terms: -27 + -1x = 45 + -7x Solving -27 + -1x = 45 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -27 + -1x + 7x = 45 + -7x + 7x Combine like terms: -1x + 7x = 6x -27 + 6x = 45 + -7x + 7x Combine like terms: -7x + 7x = 0 -27 + 6x = 45 + 0 -27 + 6x = 45 Add '27' to each side of the equation. -27 + 27 + 6x = 45 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = 45 + 27 6x = 45 + 27 Combine like terms: 45 + 27 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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