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Simplifying 7x + -1(2x + 34) = 1 Reorder the terms: 7x + -1(34 + 2x) = 1 7x + (34 * -1 + 2x * -1) = 1 7x + (-34 + -2x) = 1 Reorder the terms: -34 + 7x + -2x = 1 Combine like terms: 7x + -2x = 5x -34 + 5x = 1 Solving -34 + 5x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 5x = 1 + 34 Combine like terms: -34 + 34 = 0 0 + 5x = 1 + 34 5x = 1 + 34 Combine like terms: 1 + 34 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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