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Simplifying -45 + 5x = -1x + 27 Reorder the terms: -45 + 5x = 27 + -1x Solving -45 + 5x = 27 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -45 + 5x + x = 27 + -1x + x Combine like terms: 5x + x = 6x -45 + 6x = 27 + -1x + x Combine like terms: -1x + x = 0 -45 + 6x = 27 + 0 -45 + 6x = 27 Add '45' to each side of the equation. -45 + 45 + 6x = 27 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = 27 + 45 6x = 27 + 45 Combine like terms: 27 + 45 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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