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Simplifying -1(1 + 4x) = 2x + -2 (1 * -1 + 4x * -1) = 2x + -2 (-1 + -4x) = 2x + -2 Reorder the terms: -1 + -4x = -2 + 2x Solving -1 + -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. -1 + -4x + -2x = -2 + 2x + -2x Combine like terms: -4x + -2x = -6x -1 + -6x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -6x = -2 + 0 -1 + -6x = -2 Add '1' to each side of the equation. -1 + 1 + -6x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = -2 + 1 -6x = -2 + 1 Combine like terms: -2 + 1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667
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