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Simplifying -142 + 3x = -7x + 38 Reorder the terms: -142 + 3x = 38 + -7x Solving -142 + 3x = 38 + -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. -142 + 3x + 7x = 38 + -7x + 7x Combine like terms: 3x + 7x = 10x -142 + 10x = 38 + -7x + 7x Combine like terms: -7x + 7x = 0 -142 + 10x = 38 + 0 -142 + 10x = 38 Add '142' to each side of the equation. -142 + 142 + 10x = 38 + 142 Combine like terms: -142 + 142 = 0 0 + 10x = 38 + 142 10x = 38 + 142 Combine like terms: 38 + 142 = 180 10x = 180 Divide each side by '10'. x = 18 Simplifying x = 18
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