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Simplifying 4(1 + -1x) = 2(x + -1) (1 * 4 + -1x * 4) = 2(x + -1) (4 + -4x) = 2(x + -1) Reorder the terms: 4 + -4x = 2(-1 + x) 4 + -4x = (-1 * 2 + x * 2) 4 + -4x = (-2 + 2x) Solving 4 + -4x = -2 + 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. 4 + -4x + -2x = -2 + 2x + -2x Combine like terms: -4x + -2x = -6x 4 + -6x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -6x = -2 + 0 4 + -6x = -2 Add '-4' to each side of the equation. 4 + -4 + -6x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -2 + -4 -6x = -2 + -4 Combine like terms: -2 + -4 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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