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Simplifying 5x + 8 = -2 + -1x Reorder the terms: 8 + 5x = -2 + -1x Solving 8 + 5x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + 5x + x = -2 + -1x + x Combine like terms: 5x + x = 6x 8 + 6x = -2 + -1x + x Combine like terms: -1x + x = 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 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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