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Simplifying 2(1 + -1x) = 2(2x + -1) (1 * 2 + -1x * 2) = 2(2x + -1) (2 + -2x) = 2(2x + -1) Reorder the terms: 2 + -2x = 2(-1 + 2x) 2 + -2x = (-1 * 2 + 2x * 2) 2 + -2x = (-2 + 4x) Solving 2 + -2x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -2x + -4x = -2 + 4x + -4x Combine like terms: -2x + -4x = -6x 2 + -6x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -6x = -2 + 0 2 + -6x = -2 Add '-2' to each side of the equation. 2 + -2 + -6x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -2 + -2 -6x = -2 + -2 Combine like terms: -2 + -2 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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