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Simplifying 3x + -8 = -7x + 42 Reorder the terms: -8 + 3x = -7x + 42 Reorder the terms: -8 + 3x = 42 + -7x Solving -8 + 3x = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -8 + 3x + 7x = 42 + -7x + 7x Combine like terms: 3x + 7x = 10x -8 + 10x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 10x = 42 + 0 -8 + 10x = 42 Add '8' to each side of the equation. -8 + 8 + 10x = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 42 + 8 10x = 42 + 8 Combine like terms: 42 + 8 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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