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Simplifying 2x + -42 = 43 + -3x Reorder the terms: -42 + 2x = 43 + -3x Solving -42 + 2x = 43 + -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 + 2x + 3x = 43 + -3x + 3x Combine like terms: 2x + 3x = 5x -42 + 5x = 43 + -3x + 3x Combine like terms: -3x + 3x = 0 -42 + 5x = 43 + 0 -42 + 5x = 43 Add '42' to each side of the equation. -42 + 42 + 5x = 43 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = 43 + 42 5x = 43 + 42 Combine like terms: 43 + 42 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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