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Simplifying 8(x + y) + -5(x + -1y) = 0 (x * 8 + y * 8) + -5(x + -1y) = 0 (8x + 8y) + -5(x + -1y) = 0 8x + 8y + (x * -5 + -1y * -5) = 0 8x + 8y + (-5x + 5y) = 0 Reorder the terms: 8x + -5x + 8y + 5y = 0 Combine like terms: 8x + -5x = 3x 3x + 8y + 5y = 0 Combine like terms: 8y + 5y = 13y 3x + 13y = 0 Solving 3x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. 3x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 3x + 0 = 0 + -13y 3x = 0 + -13y Remove the zero: 3x = -13y Divide each side by '3'. x = -4.333333333y Simplifying x = -4.333333333y
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