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Simplifying 42 = 2x + -7x + 2 Reorder the terms: 42 = 2 + 2x + -7x Combine like terms: 2x + -7x = -5x 42 = 2 + -5x Solving 42 = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 42 + 5x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 42 + 5x = 2 + 0 42 + 5x = 2 Add '-42' to each side of the equation. 42 + -42 + 5x = 2 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 2 + -42 5x = 2 + -42 Combine like terms: 2 + -42 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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