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Simplifying 5(x + -2y) + 3(2y + -1x) = 0 (x * 5 + -2y * 5) + 3(2y + -1x) = 0 (5x + -10y) + 3(2y + -1x) = 0 Reorder the terms: 5x + -10y + 3(-1x + 2y) = 0 5x + -10y + (-1x * 3 + 2y * 3) = 0 5x + -10y + (-3x + 6y) = 0 Reorder the terms: 5x + -3x + -10y + 6y = 0 Combine like terms: 5x + -3x = 2x 2x + -10y + 6y = 0 Combine like terms: -10y + 6y = -4y 2x + -4y = 0 Solving 2x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 2x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 2x + 0 = 0 + 4y 2x = 0 + 4y Remove the zero: 2x = 4y Divide each side by '2'. x = 2y Simplifying x = 2y
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