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Simplifying 4(2x + 3y) + 2(x + 2y) = 0 (2x * 4 + 3y * 4) + 2(x + 2y) = 0 (8x + 12y) + 2(x + 2y) = 0 8x + 12y + (x * 2 + 2y * 2) = 0 8x + 12y + (2x + 4y) = 0 Reorder the terms: 8x + 2x + 12y + 4y = 0 Combine like terms: 8x + 2x = 10x 10x + 12y + 4y = 0 Combine like terms: 12y + 4y = 16y 10x + 16y = 0 Solving 10x + 16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. 10x + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 10x + 0 = 0 + -16y 10x = 0 + -16y Remove the zero: 10x = -16y Divide each side by '10'. x = -1.6y Simplifying x = -1.6y
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