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Simplifying 3(x + -1y) + -4(x + 2y) = 0 (x * 3 + -1y * 3) + -4(x + 2y) = 0 (3x + -3y) + -4(x + 2y) = 0 3x + -3y + (x * -4 + 2y * -4) = 0 3x + -3y + (-4x + -8y) = 0 Reorder the terms: 3x + -4x + -3y + -8y = 0 Combine like terms: 3x + -4x = -1x -1x + -3y + -8y = 0 Combine like terms: -3y + -8y = -11y -1x + -11y = 0 Solving -1x + -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. -1x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 -1x + 0 = 0 + 11y -1x = 0 + 11y Remove the zero: -1x = 11y Divide each side by '-1'. x = -11y Simplifying x = -11y
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