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Simplifying 2(X + 4) = 4 + -4(4X + 1) Reorder the terms: 2(4 + X) = 4 + -4(4X + 1) (4 * 2 + X * 2) = 4 + -4(4X + 1) (8 + 2X) = 4 + -4(4X + 1) Reorder the terms: 8 + 2X = 4 + -4(1 + 4X) 8 + 2X = 4 + (1 * -4 + 4X * -4) 8 + 2X = 4 + (-4 + -16X) Combine like terms: 4 + -4 = 0 8 + 2X = 0 + -16X 8 + 2X = -16X Solving 8 + 2X = -16X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16X' to each side of the equation. 8 + 2X + 16X = -16X + 16X Combine like terms: 2X + 16X = 18X 8 + 18X = -16X + 16X Combine like terms: -16X + 16X = 0 8 + 18X = 0 Add '-8' to each side of the equation. 8 + -8 + 18X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 18X = 0 + -8 18X = 0 + -8 Combine like terms: 0 + -8 = -8 18X = -8 Divide each side by '18'. X = -0.4444444444 Simplifying X = -0.4444444444
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