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Simplifying 3x + -42 = -7x + 18 Reorder the terms: -42 + 3x = -7x + 18 Reorder the terms: -42 + 3x = 18 + -7x Solving -42 + 3x = 18 + -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. -42 + 3x + 7x = 18 + -7x + 7x Combine like terms: 3x + 7x = 10x -42 + 10x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + 10x = 18 + 0 -42 + 10x = 18 Add '42' to each side of the equation. -42 + 42 + 10x = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = 18 + 42 10x = 18 + 42 Combine like terms: 18 + 42 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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