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Simplifying 7x + 42 = 2x + 7 Reorder the terms: 42 + 7x = 2x + 7 Reorder the terms: 42 + 7x = 7 + 2x Solving 42 + 7x = 7 + 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 = 7 + 2x + -2x Combine like terms: 7x + -2x = 5x 42 + 5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 5x = 7 + 0 42 + 5x = 7 Add '-42' to each side of the equation. 42 + -42 + 5x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 7 + -42 5x = 7 + -42 Combine like terms: 7 + -42 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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