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Simplifying 4(2x + y) + -2(2x + y) = 0 (2x * 4 + y * 4) + -2(2x + y) = 0 (8x + 4y) + -2(2x + y) = 0 8x + 4y + (2x * -2 + y * -2) = 0 8x + 4y + (-4x + -2y) = 0 Reorder the terms: 8x + -4x + 4y + -2y = 0 Combine like terms: 8x + -4x = 4x 4x + 4y + -2y = 0 Combine like terms: 4y + -2y = 2y 4x + 2y = 0 Solving 4x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 4x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 4x + 0 = 0 + -2y 4x = 0 + -2y Remove the zero: 4x = -2y Divide each side by '4'. x = -0.5y Simplifying x = -0.5y
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