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Simplifying 5(2x + y) + 2(3x + -2y) = 0 (2x * 5 + y * 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 = 16x 16x + 5y + -4y = 0 Combine like terms: 5y + -4y = 1y 16x + 1y = 0 Solving 16x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 16x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 16x + 0 = 0 + -1y 16x = 0 + -1y Remove the zero: 16x = -1y Divide each side by '16'. x = -0.0625y Simplifying x = -0.0625y
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