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Simplifying 3(x + -1y) + -1(2x + 5y) = 0 (x * 3 + -1y * 3) + -1(2x + 5y) = 0 (3x + -3y) + -1(2x + 5y) = 0 3x + -3y + (2x * -1 + 5y * -1) = 0 3x + -3y + (-2x + -5y) = 0 Reorder the terms: 3x + -2x + -3y + -5y = 0 Combine like terms: 3x + -2x = 1x 1x + -3y + -5y = 0 Combine like terms: -3y + -5y = -8y 1x + -8y = 0 Solving 1x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 1x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 1x + 0 = 0 + 8y 1x = 0 + 8y Remove the zero: 1x = 8y Divide each side by '1'. x = 8y Simplifying x = 8y
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