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Simplifying x + -2(x + -3(-4(x + -5))) = 1 Reorder the terms: x + -2(x + -3(-4(-5 + x))) = 1 x + -2(x + -3((-5 * -4 + x * -4))) = 1 x + -2(x + -3((20 + -4x))) = 1 x + -2(x + (20 * -3 + -4x * -3)) = 1 x + -2(x + (-60 + 12x)) = 1 Reorder the terms: x + -2(-60 + x + 12x) = 1 Combine like terms: x + 12x = 13x x + -2(-60 + 13x) = 1 x + (-60 * -2 + 13x * -2) = 1 x + (120 + -26x) = 1 Reorder the terms: 120 + x + -26x = 1 Combine like terms: x + -26x = -25x 120 + -25x = 1 Solving 120 + -25x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -25x = 1 + -120 Combine like terms: 120 + -120 = 0 0 + -25x = 1 + -120 -25x = 1 + -120 Combine like terms: 1 + -120 = -119 -25x = -119 Divide each side by '-25'. x = 4.76 Simplifying x = 4.76
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