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Simplifying 8X + -5(2 + -4X) = 1 + -4X 8X + (2 * -5 + -4X * -5) = 1 + -4X 8X + (-10 + 20X) = 1 + -4X Reorder the terms: -10 + 8X + 20X = 1 + -4X Combine like terms: 8X + 20X = 28X -10 + 28X = 1 + -4X Solving -10 + 28X = 1 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. -10 + 28X + 4X = 1 + -4X + 4X Combine like terms: 28X + 4X = 32X -10 + 32X = 1 + -4X + 4X Combine like terms: -4X + 4X = 0 -10 + 32X = 1 + 0 -10 + 32X = 1 Add '10' to each side of the equation. -10 + 10 + 32X = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 32X = 1 + 10 32X = 1 + 10 Combine like terms: 1 + 10 = 11 32X = 11 Divide each side by '32'. X = 0.34375 Simplifying X = 0.34375
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