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Simplifying -5x + -27 = 3x + 61 Reorder the terms: -27 + -5x = 3x + 61 Reorder the terms: -27 + -5x = 61 + 3x Solving -27 + -5x = 61 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + -5x + -3x = 61 + 3x + -3x Combine like terms: -5x + -3x = -8x -27 + -8x = 61 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + -8x = 61 + 0 -27 + -8x = 61 Add '27' to each side of the equation. -27 + 27 + -8x = 61 + 27 Combine like terms: -27 + 27 = 0 0 + -8x = 61 + 27 -8x = 61 + 27 Combine like terms: 61 + 27 = 88 -8x = 88 Divide each side by '-8'. x = -11 Simplifying x = -11
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