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Simplifying 5(2x + -1y) + -2(3x + -2y) = 0 (2x * 5 + -1y * 5) + -2(3x + -2y) = 0 (10x + -5y) + -2(3x + -2y) = 0 10x + -5y + (3x * -2 + -2y * -2) = 0 10x + -5y + (-6x + 4y) = 0 Reorder the terms: 10x + -6x + -5y + 4y = 0 Combine like terms: 10x + -6x = 4x 4x + -5y + 4y = 0 Combine like terms: -5y + 4y = -1y 4x + -1y = 0 Solving 4x + -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. 4x + -1y + y = 0 + y Combine like terms: -1y + y = 0 4x + 0 = 0 + y 4x = 0 + y Remove the zero: 4x = y Divide each side by '4'. x = 0.25y Simplifying x = 0.25y
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