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