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Simplifying 7x + -42 = 2x + 38 Reorder the terms: -42 + 7x = 2x + 38 Reorder the terms: -42 + 7x = 38 + 2x Solving -42 + 7x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 7x + -2x = 38 + 2x + -2x Combine like terms: 7x + -2x = 5x -42 + 5x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 5x = 38 + 0 -42 + 5x = 38 Add '42' to each side of the equation. -42 + 42 + 5x = 38 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = 38 + 42 5x = 38 + 42 Combine like terms: 38 + 42 = 80 5x = 80 Divide each side by '5'. x = 16 Simplifying x = 16
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