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Simplifying 8X + 5(2 + -4X) = 4X + 1 8X + (2 * 5 + -4X * 5) = 4X + 1 8X + (10 + -20X) = 4X + 1 Reorder the terms: 10 + 8X + -20X = 4X + 1 Combine like terms: 8X + -20X = -12X 10 + -12X = 4X + 1 Reorder the terms: 10 + -12X = 1 + 4X Solving 10 + -12X = 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 + -12X + -4X = 1 + 4X + -4X Combine like terms: -12X + -4X = -16X 10 + -16X = 1 + 4X + -4X Combine like terms: 4X + -4X = 0 10 + -16X = 1 + 0 10 + -16X = 1 Add '-10' to each side of the equation. 10 + -10 + -16X = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -16X = 1 + -10 -16X = 1 + -10 Combine like terms: 1 + -10 = -9 -16X = -9 Divide each side by '-16'. X = 0.5625 Simplifying X = 0.5625
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