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Simplifying 13X + 2[6(1 + -2X) + -4] = 8 + -1[-2(5X + -3)] 13X + 2[(1 * 6 + -2X * 6) + -4] = 8 + -1[-2(5X + -3)] 13X + 2[(6 + -12X) + -4] = 8 + -1[-2(5X + -3)] Reorder the terms: 13X + 2[6 + -4 + -12X] = 8 + -1[-2(5X + -3)] Combine like terms: 6 + -4 = 2 13X + 2[2 + -12X] = 8 + -1[-2(5X + -3)] 13X + [2 * 2 + -12X * 2] = 8 + -1[-2(5X + -3)] 13X + [4 + -24X] = 8 + -1[-2(5X + -3)] Reorder the terms: 4 + 13X + -24X = 8 + -1[-2(5X + -3)] Combine like terms: 13X + -24X = -11X 4 + -11X = 8 + -1[-2(5X + -3)] Reorder the terms: 4 + -11X = 8 + -1[-2(-3 + 5X)] 4 + -11X = 8 + -1[(-3 * -2 + 5X * -2)] 4 + -11X = 8 + -1[(6 + -10X)] 4 + -11X = 8 + [6 * -1 + -10X * -1] 4 + -11X = 8 + [-6 + 10X] Combine like terms: 8 + -6 = 2 4 + -11X = 2 + 10X Solving 4 + -11X = 2 + 10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. 4 + -11X + -10X = 2 + 10X + -10X Combine like terms: -11X + -10X = -21X 4 + -21X = 2 + 10X + -10X Combine like terms: 10X + -10X = 0 4 + -21X = 2 + 0 4 + -21X = 2 Add '-4' to each side of the equation. 4 + -4 + -21X = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -21X = 2 + -4 -21X = 2 + -4 Combine like terms: 2 + -4 = -2 -21X = -2 Divide each side by '-21'. X = 0.09523809524 Simplifying X = 0.09523809524
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