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Simplifying 2x + -4(1 + -1x) = -2x + -2(1 + -1x) 2x + (1 * -4 + -1x * -4) = -2x + -2(1 + -1x) 2x + (-4 + 4x) = -2x + -2(1 + -1x) Reorder the terms: -4 + 2x + 4x = -2x + -2(1 + -1x) Combine like terms: 2x + 4x = 6x -4 + 6x = -2x + -2(1 + -1x) -4 + 6x = -2x + (1 * -2 + -1x * -2) -4 + 6x = -2x + (-2 + 2x) Reorder the terms: -4 + 6x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 6x = -2 + 0 -4 + 6x = -2 Solving -4 + 6x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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