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Simplifying 6 + x + -27 + -51 = 6 + -1x Reorder the terms: 6 + -27 + -51 + x = 6 + -1x Combine like terms: 6 + -27 = -21 -21 + -51 + x = 6 + -1x Combine like terms: -21 + -51 = -72 -72 + x = 6 + -1x Solving -72 + x = 6 + -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. -72 + x + x = 6 + -1x + x Combine like terms: x + x = 2x -72 + 2x = 6 + -1x + x Combine like terms: -1x + x = 0 -72 + 2x = 6 + 0 -72 + 2x = 6 Add '72' to each side of the equation. -72 + 72 + 2x = 6 + 72 Combine like terms: -72 + 72 = 0 0 + 2x = 6 + 72 2x = 6 + 72 Combine like terms: 6 + 72 = 78 2x = 78 Divide each side by '2'. x = 39 Simplifying x = 39
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