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Simplifying -1(x + -2) + 2x + -6 = 8 Reorder the terms: -1(-2 + x) + 2x + -6 = 8 (-2 * -1 + x * -1) + 2x + -6 = 8 (2 + -1x) + 2x + -6 = 8 Reorder the terms: 2 + -6 + -1x + 2x = 8 Combine like terms: 2 + -6 = -4 -4 + -1x + 2x = 8 Combine like terms: -1x + 2x = 1x -4 + 1x = 8 Solving -4 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 8 + 4 1x = 8 + 4 Combine like terms: 8 + 4 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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