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Simplifying 4(x + -1y) + 3(2x + y) = 0 (x * 4 + -1y * 4) + 3(2x + y) = 0 (4x + -4y) + 3(2x + y) = 0 4x + -4y + (2x * 3 + y * 3) = 0 4x + -4y + (6x + 3y) = 0 Reorder the terms: 4x + 6x + -4y + 3y = 0 Combine like terms: 4x + 6x = 10x 10x + -4y + 3y = 0 Combine like terms: -4y + 3y = -1y 10x + -1y = 0 Solving 10x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 10x + -1y + y = 0 + y Combine like terms: -1y + y = 0 10x + 0 = 0 + y 10x = 0 + y Remove the zero: 10x = y Divide each side by '10'. x = 0.1y Simplifying x = 0.1y
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