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Simplifying 4(X + -8) + 14 + -1(2X + 6) = 5 Reorder the terms: 4(-8 + X) + 14 + -1(2X + 6) = 5 (-8 * 4 + X * 4) + 14 + -1(2X + 6) = 5 (-32 + 4X) + 14 + -1(2X + 6) = 5 Reorder the terms: -32 + 4X + 14 + -1(6 + 2X) = 5 -32 + 4X + 14 + (6 * -1 + 2X * -1) = 5 -32 + 4X + 14 + (-6 + -2X) = 5 Reorder the terms: -32 + 14 + -6 + 4X + -2X = 5 Combine like terms: -32 + 14 = -18 -18 + -6 + 4X + -2X = 5 Combine like terms: -18 + -6 = -24 -24 + 4X + -2X = 5 Combine like terms: 4X + -2X = 2X -24 + 2X = 5 Solving -24 + 2X = 5 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 2X = 5 + 24 Combine like terms: -24 + 24 = 0 0 + 2X = 5 + 24 2X = 5 + 24 Combine like terms: 5 + 24 = 29 2X = 29 Divide each side by '2'. X = 14.5 Simplifying X = 14.5
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