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Simplifying -1(-3x + y) + -2(5y + -1x) = 0 (-3x * -1 + y * -1) + -2(5y + -1x) = 0 (3x + -1y) + -2(5y + -1x) = 0 Reorder the terms: 3x + -1y + -2(-1x + 5y) = 0 3x + -1y + (-1x * -2 + 5y * -2) = 0 3x + -1y + (2x + -10y) = 0 Reorder the terms: 3x + 2x + -1y + -10y = 0 Combine like terms: 3x + 2x = 5x 5x + -1y + -10y = 0 Combine like terms: -1y + -10y = -11y 5x + -11y = 0 Solving 5x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 5x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 5x + 0 = 0 + 11y 5x = 0 + 11y Remove the zero: 5x = 11y Divide each side by '5'. x = 2.2y Simplifying x = 2.2y
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