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Simplifying x + 8 = -5x + 2 Reorder the terms: 8 + x = -5x + 2 Reorder the terms: 8 + x = 2 + -5x Solving 8 + x = 2 + -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. 8 + x + 5x = 2 + -5x + 5x Combine like terms: x + 5x = 6x 8 + 6x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 6x = 2 + 0 8 + 6x = 2 Add '-8' to each side of the equation. 8 + -8 + 6x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 2 + -8 6x = 2 + -8 Combine like terms: 2 + -8 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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