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Simplifying 8X + 4(2 + 4X) = 4X + 1 8X + (2 * 4 + 4X * 4) = 4X + 1 8X + (8 + 16X) = 4X + 1 Reorder the terms: 8 + 8X + 16X = 4X + 1 Combine like terms: 8X + 16X = 24X 8 + 24X = 4X + 1 Reorder the terms: 8 + 24X = 1 + 4X Solving 8 + 24X = 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. 8 + 24X + -4X = 1 + 4X + -4X Combine like terms: 24X + -4X = 20X 8 + 20X = 1 + 4X + -4X Combine like terms: 4X + -4X = 0 8 + 20X = 1 + 0 8 + 20X = 1 Add '-8' to each side of the equation. 8 + -8 + 20X = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 20X = 1 + -8 20X = 1 + -8 Combine like terms: 1 + -8 = -7 20X = -7 Divide each side by '20'. X = -0.35 Simplifying X = -0.35
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