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