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Simplifying -42 + 7x = 3x + 58 Reorder the terms: -42 + 7x = 58 + 3x Solving -42 + 7x = 58 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -42 + 7x + -3x = 58 + 3x + -3x Combine like terms: 7x + -3x = 4x -42 + 4x = 58 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 4x = 58 + 0 -42 + 4x = 58 Add '42' to each side of the equation. -42 + 42 + 4x = 58 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 58 + 42 4x = 58 + 42 Combine like terms: 58 + 42 = 100 4x = 100 Divide each side by '4'. x = 25 Simplifying x = 25
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