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Simplifying -1x + -5 = 3x + 27 + -10 Reorder the terms: -5 + -1x = 3x + 27 + -10 Reorder the terms: -5 + -1x = 27 + -10 + 3x Combine like terms: 27 + -10 = 17 -5 + -1x = 17 + 3x Solving -5 + -1x = 17 + 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. -5 + -1x + -3x = 17 + 3x + -3x Combine like terms: -1x + -3x = -4x -5 + -4x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -4x = 17 + 0 -5 + -4x = 17 Add '5' to each side of the equation. -5 + 5 + -4x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 17 + 5 -4x = 17 + 5 Combine like terms: 17 + 5 = 22 -4x = 22 Divide each side by '-4'. x = -5.5 Simplifying x = -5.5
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