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Simplifying -27 + 5x = 51 + -1x Solving -27 + 5x = 51 + -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. -27 + 5x + x = 51 + -1x + x Combine like terms: 5x + x = 6x -27 + 6x = 51 + -1x + x Combine like terms: -1x + x = 0 -27 + 6x = 51 + 0 -27 + 6x = 51 Add '27' to each side of the equation. -27 + 27 + 6x = 51 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = 51 + 27 6x = 51 + 27 Combine like terms: 51 + 27 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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