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Simplifying 7x + -8 = 2x + 42 Reorder the terms: -8 + 7x = 2x + 42 Reorder the terms: -8 + 7x = 42 + 2x Solving -8 + 7x = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 7x + -2x = 42 + 2x + -2x Combine like terms: 7x + -2x = 5x -8 + 5x = 42 + 2x + -2x Combine like terms: 2x + -2x = 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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