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