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Simplifying -5x + -8 = -10x + 42 Reorder the terms: -8 + -5x = -10x + 42 Reorder the terms: -8 + -5x = 42 + -10x Solving -8 + -5x = 42 + -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 = 42 + -10x + 10x Combine like terms: -5x + 10x = 5x -8 + 5x = 42 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 5x = 42 + 0 -8 + 5x = 42 Add '8' to each side of the equation. -8 + 8 + 5x = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 42 + 8 5x = 42 + 8 Combine like terms: 42 + 8 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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