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Simplifying 4(X + -4) = 2(X + 4) Reorder the terms: 4(-4 + X) = 2(X + 4) (-4 * 4 + X * 4) = 2(X + 4) (-16 + 4X) = 2(X + 4) Reorder the terms: -16 + 4X = 2(4 + X) -16 + 4X = (4 * 2 + X * 2) -16 + 4X = (8 + 2X) Solving -16 + 4X = 8 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -16 + 4X + -2X = 8 + 2X + -2X Combine like terms: 4X + -2X = 2X -16 + 2X = 8 + 2X + -2X Combine like terms: 2X + -2X = 0 -16 + 2X = 8 + 0 -16 + 2X = 8 Add '16' to each side of the equation. -16 + 16 + 2X = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 2X = 8 + 16 2X = 8 + 16 Combine like terms: 8 + 16 = 24 2X = 24 Divide each side by '2'. X = 12 Simplifying X = 12
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