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Simplifying 4(X + 2) = 3(1 + -4X) + X Reorder the terms: 4(2 + X) = 3(1 + -4X) + X (2 * 4 + X * 4) = 3(1 + -4X) + X (8 + 4X) = 3(1 + -4X) + X 8 + 4X = (1 * 3 + -4X * 3) + X 8 + 4X = (3 + -12X) + X Combine like terms: -12X + X = -11X 8 + 4X = 3 + -11X Solving 8 + 4X = 3 + -11X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '11X' to each side of the equation. 8 + 4X + 11X = 3 + -11X + 11X Combine like terms: 4X + 11X = 15X 8 + 15X = 3 + -11X + 11X Combine like terms: -11X + 11X = 0 8 + 15X = 3 + 0 8 + 15X = 3 Add '-8' to each side of the equation. 8 + -8 + 15X = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 15X = 3 + -8 15X = 3 + -8 Combine like terms: 3 + -8 = -5 15X = -5 Divide each side by '15'. X = -0.3333333333 Simplifying X = -0.3333333333
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