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Simplifying -1(x + 1) + 2x + -6 = 7 Reorder the terms: -1(1 + x) + 2x + -6 = 7 (1 * -1 + x * -1) + 2x + -6 = 7 (-1 + -1x) + 2x + -6 = 7 Reorder the terms: -1 + -6 + -1x + 2x = 7 Combine like terms: -1 + -6 = -7 -7 + -1x + 2x = 7 Combine like terms: -1x + 2x = 1x -7 + 1x = 7 Solving -7 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 7 + 7 1x = 7 + 7 Combine like terms: 7 + 7 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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