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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 = 7x 7x + -3y + -8y = 0 Combine like terms: -3y + -8y = -11y 7x + -11y = 0 Solving 7x + -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. 7x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 7x + 0 = 0 + 11y 7x = 0 + 11y Remove the zero: 7x = 11y Divide each side by '7'. x = 1.571428571y Simplifying x = 1.571428571y
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