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Simplifying 5x + -42 = 3x + 42 Reorder the terms: -42 + 5x = 3x + 42 Reorder the terms: -42 + 5x = 42 + 3x Solving -42 + 5x = 42 + 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 + 5x + -3x = 42 + 3x + -3x Combine like terms: 5x + -3x = 2x -42 + 2x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 2x = 42 + 0 -42 + 2x = 42 Add '42' to each side of the equation. -42 + 42 + 2x = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = 42 + 42 2x = 42 + 42 Combine like terms: 42 + 42 = 84 2x = 84 Divide each side by '2'. x = 42 Simplifying x = 42
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