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Simplifying 8(x + -1y) + 11(x + y) = 0 (x * 8 + -1y * 8) + 11(x + y) = 0 (8x + -8y) + 11(x + y) = 0 8x + -8y + (x * 11 + y * 11) = 0 8x + -8y + (11x + 11y) = 0 Reorder the terms: 8x + 11x + -8y + 11y = 0 Combine like terms: 8x + 11x = 19x 19x + -8y + 11y = 0 Combine like terms: -8y + 11y = 3y 19x + 3y = 0 Solving 19x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 19x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 19x + 0 = 0 + -3y 19x = 0 + -3y Remove the zero: 19x = -3y Divide each side by '19'. x = -0.1578947368y Simplifying x = -0.1578947368y
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