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Simplifying -1(-1x + 5) = 2(x + 6) Reorder the terms: -1(5 + -1x) = 2(x + 6) (5 * -1 + -1x * -1) = 2(x + 6) (-5 + 1x) = 2(x + 6) Reorder the terms: -5 + 1x = 2(6 + x) -5 + 1x = (6 * 2 + x * 2) -5 + 1x = (12 + 2x) Solving -5 + 1x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 1x + -2x = 12 + 2x + -2x Combine like terms: 1x + -2x = -1x -5 + -1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -1x = 12 + 0 -5 + -1x = 12 Add '5' to each side of the equation. -5 + 5 + -1x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 12 + 5 -1x = 12 + 5 Combine like terms: 12 + 5 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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