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Simplifying 2x + -5y + -2(2x + 3y) + -1y = 0 2x + -5y + (2x * -2 + 3y * -2) + -1y = 0 2x + -5y + (-4x + -6y) + -1y = 0 Reorder the terms: 2x + -4x + -5y + -6y + -1y = 0 Combine like terms: 2x + -4x = -2x -2x + -5y + -6y + -1y = 0 Combine like terms: -5y + -6y = -11y -2x + -11y + -1y = 0 Combine like terms: -11y + -1y = -12y -2x + -12y = 0 Solving -2x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. -2x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 -2x + 0 = 0 + 12y -2x = 0 + 12y Remove the zero: -2x = 12y Divide each side by '-2'. x = -6y Simplifying x = -6y
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