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Simplifying 4(1 + -2x) = -1(2x + -5) (1 * 4 + -2x * 4) = -1(2x + -5) (4 + -8x) = -1(2x + -5) Reorder the terms: 4 + -8x = -1(-5 + 2x) 4 + -8x = (-5 * -1 + 2x * -1) 4 + -8x = (5 + -2x) Solving 4 + -8x = 5 + -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 + -8x + 2x = 5 + -2x + 2x Combine like terms: -8x + 2x = -6x 4 + -6x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -6x = 5 + 0 4 + -6x = 5 Add '-4' to each side of the equation. 4 + -4 + -6x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 5 + -4 -6x = 5 + -4 Combine like terms: 5 + -4 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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