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Simplifying 5x + 8 = -122 + -10x Reorder the terms: 8 + 5x = -122 + -10x Solving 8 + 5x = -122 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8 + 5x + 10x = -122 + -10x + 10x Combine like terms: 5x + 10x = 15x 8 + 15x = -122 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 15x = -122 + 0 8 + 15x = -122 Add '-8' to each side of the equation. 8 + -8 + 15x = -122 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = -122 + -8 15x = -122 + -8 Combine like terms: -122 + -8 = -130 15x = -130 Divide each side by '15'. x = -8.666666667 Simplifying x = -8.666666667
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