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Simplifying 3(x + -2y) + (2x + -5y) + -1(x + -1y) = 0 (x * 3 + -2y * 3) + (2x + -5y) + -1(x + -1y) = 0 (3x + -6y) + (2x + -5y) + -1(x + -1y) = 0 Remove parenthesis around (2x + -5y) 3x + -6y + 2x + -5y + -1(x + -1y) = 0 3x + -6y + 2x + -5y + (x * -1 + -1y * -1) = 0 3x + -6y + 2x + -5y + (-1x + 1y) = 0 Reorder the terms: 3x + 2x + -1x + -6y + -5y + 1y = 0 Combine like terms: 3x + 2x = 5x 5x + -1x + -6y + -5y + 1y = 0 Combine like terms: 5x + -1x = 4x 4x + -6y + -5y + 1y = 0 Combine like terms: -6y + -5y = -11y 4x + -11y + 1y = 0 Combine like terms: -11y + 1y = -10y 4x + -10y = 0 Solving 4x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 4x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 4x + 0 = 0 + 10y 4x = 0 + 10y Remove the zero: 4x = 10y Divide each side by '4'. x = 2.5y Simplifying x = 2.5y
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