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Simplifying 3x + -2 = -7x + -42 Reorder the terms: -2 + 3x = -7x + -42 Reorder the terms: -2 + 3x = -42 + -7x Solving -2 + 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. -2 + 3x + 7x = -42 + -7x + 7x Combine like terms: 3x + 7x = 10x -2 + 10x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 10x = -42 + 0 -2 + 10x = -42 Add '2' to each side of the equation. -2 + 2 + 10x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -42 + 2 10x = -42 + 2 Combine like terms: -42 + 2 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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