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Simplifying x + -27 = 5x + 1 Reorder the terms: -27 + x = 5x + 1 Reorder the terms: -27 + x = 1 + 5x Solving -27 + x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + x + -5x = 1 + 5x + -5x Combine like terms: x + -5x = -4x -27 + -4x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + -4x = 1 + 0 -27 + -4x = 1 Add '27' to each side of the equation. -27 + 27 + -4x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + -4x = 1 + 27 -4x = 1 + 27 Combine like terms: 1 + 27 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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