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Simplifying -2(1 + -1x) = x + 49 (1 * -2 + -1x * -2) = x + 49 (-2 + 2x) = x + 49 Reorder the terms: -2 + 2x = 49 + x Solving -2 + 2x = 49 + 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. -2 + 2x + -1x = 49 + x + -1x Combine like terms: 2x + -1x = 1x -2 + 1x = 49 + x + -1x Combine like terms: x + -1x = 0 -2 + 1x = 49 + 0 -2 + 1x = 49 Add '2' to each side of the equation. -2 + 2 + 1x = 49 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 49 + 2 1x = 49 + 2 Combine like terms: 49 + 2 = 51 1x = 51 Divide each side by '1'. x = 51 Simplifying x = 51
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