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